Interior angle + Exterior Angle = 180Â°. Yes, regular 52-gon.-2-Create your own worksheets like this one with Infinite Geometry. To find the measure of exterior angle corresponding to xÂ° in the above polygon, first we have to find the value of x. What about Exterior Angles?! Kristina_Stefani TEACHER. 18-gon The sum of the measures of the angles of a polygon with n sides is given. Find the measures of an interior angle and an exterior angle of each regular polygon. Find the measure of each exterior angle of the regular polygon given below. 3 use the theorems for interior and exterior angles of a polygon to find. Some of the worksheets for this concept are 6 polygons and angles, Sum of angles in polygons work answer key, Polygons quadrilaterals and special parallelograms, Name period gp unit 10 quadrilaterals and p, Sum of angles in polygons work, 4 the exterior angle theorem, Exterior angle, Sum of interior angles. The diagram at the right shows platforms constructed for a theater-in-the-round stage. Find the measures of an interior angle and an exterior angle of each regular polygon. ӭ�6��6�(p�`�A0�T��T*�֠b"1 So, the above regular polygon has 9 sides. 13 terms. x° + Exterior Angle = 180 ° 110 ° + Exterior angle = 180 ° Exterior angle = 70 ° So, the measure of each exterior angle corresponding to x ° in the above polygon is 70 °. f G SMHaXdte 0 bw 6i TtfhP CIdn foiZnaiztpeB xGxeKoVmWe9t gr8y J. s Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ The Exterior Angle Theorem Date_____ Period____ The sum of the exterior angles at each vertex of a polygon measures 360 o. Divide 360 by the number of sides, to figure out the size of each exterior angle in this unit of regular polygons pdf worksheets for 8th grade and high school students. Each has a box for a na Printable in convenient PDF format. How many sides does the polygon have ? Polygon angle sum theorem worksheet Related Topics: More Geometry Lessons From Geometry Sheets Geometry game In these lessons, we learn how to calculate the amount of the inner corners of the landfill using the amount of angles in the triangle formula to sum the inner corners in the landfill, how to solve problems by using the amount of internal angles in the landfill. E���ʵq���-��_��������������-�$GDtGDtG��4GF�#�\�A��tGDtGD|���쎈�Dp#��ds#�|���>GD|�]媡#��GD|�GDtG����#�p`��G��#�#�FG2. Name the regular polygon that each exterior angle has a measure of 120 o. The exterior angles are the angles formed between a side length and an extension. Free Geometry worksheets created with Infinite Geometry. The measure of each exterior angle is 72Â°. Find the nmnbar of sides for each, a) 72° b) 40° 2) Find the measure of an interior and an exterior angle of a regular 46-gon. Free Geometry worksheets created with Infinite Geometry. sjj05c TEACHER. Find the measure of each exterior angle of a regular decagon. Some of the worksheets displayed are Sum of interior angles, Name period gp unit 10 quadrilaterals and p, Exterior angle, 15 polygons mep y8 practice book b, Interior and exterior angles of polygons 2a w, 4 the exterior angle theorem, 6 polygons and angles, Interior and exterior angles of polygons 1. Each student in the group is given a different polygon with its exterior angles drawn out. Title: Exterior Angle Theorem & Triangle Angle-Sum Theorem Author: … Polygon Exterior Angle Sum Theorem If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360 ° . Learn to apply the angle sum property and the exterior angle theorem, solve for 'x' to determine the indicated interior and exterior angles. The sum of the measures of the exterior angles is the difference between the sum of measures of the linear pairs and the sum of measures of the interior angles. In any polygon, the sum of an interior angle and its corresponding exterior angle is 180Â°. M Worksheet by Kuta Software LLC Geometry ID: 1 Name_____ ©5 s2F0 u13Y NKWu9tSa6 7SFoyf dtZwfamrwes nL sLMCD.3 a rAVl7lO Xr2i 7g9h2t Qss mr1e Mse5rUvuejdZ. This activity helps to reinforce the concepts of the interior angle sum theorem, interior angles of polygons, and exterior angles of polygons. Polygon Exterior Angle Sum Theorem If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is. That is, Interior angle + Exterior Angle = 180 ° Then, we have. Free trial available at KutaSoftware.com Given : The measure of each exterior angle of a regular pentagon is (2x + 4)Â°. One of the facts about a quadrilateral that we need to understand is that the sum of the four angles in a quadrilateral is always 360. In any polygon, the sum of exterior angles is. Exterior Angle of Regular Polygons The sum of the exterior angles at each vertex of a polygon measures 360 o. Divide 360 by the number of sides, to figure out the size of each exterior angle in this unit of regular polygons pdf worksheets for 8th grade and high school students. The above diagram is an irregular polygon of 6 sides (Hexagon) with one of the interior angles as right angle. Free printable worksheet on the exterior angles of a polygon--includes visual aides, many practice problems, an exploratory activity, and a web based component ... Find the sum of the measures of the exterior angles of a regular polygon that has 720 sides. P�@":��p�eVC0�YA%�%lq;SDtGD�e8B""""""#�r��ft�����h":�D�!�V�(���-��p|$�L��E���1�T�I Interior Angles in Polygons No homework 11/7 7,8 Exterior Angles in Polygons Pg. katherinenguyenn. Problems 1 - 6 are easy and problems 7 - 12 are challenging where algebra is reinforced. Free printable worksheet on the exterior angles of a polygon--includes visual aides, many practice problems, an exploratory activity, and a web based component ... Find the sum of the measures of the exterior angles of a regular polygon that has 720 sides. How many sides does the polygon have ? Beside that, we also come with more related things such polygon exterior angle formula, polygon interior and exterior angle worksheet and right triangle pythagorean theorem worksheets. 180º 5. In any polygon, the sum of an interior angle and its corresponding exterior angle is 180 °. They identify missing angle measures and determine the measure of an interior angle of a regular polygon. Name the regular polygon that each interior angle has a measure of 144 o. In this angle-sum theorem worksheet, students find the variables for given polygons. 360 ° 32) Is there a regular polygon with an interior angle sum of 9000 °? ����l{���uk�!x�#�R��]Ri���7�l�����6�����M��ގ�UZ�U����鴢�G�E@���b��w��m�p�P��[���&�6� �P�0E�o�����C��P�M��H\!��"?�]�uN�A� �p���9C�9NP��Q�Be8R�m?���C#�����r��t":DD8���X{�%�"��I.� Lesson Worksheet: Exterior Angles of a Polygon Mathematics • 8th Grade In this worksheet, we will practice identifying exterior angles of polygons, finding their sum… endstream endobj 181 0 obj <>/Filter/CCITTFaxDecode/Height 2200/Length 13199/Name/Im25/Subtype/Image/Type/XObject/Width 1704>>stream Worksheet using the formula for the sum of interior and exterior angles. 31 terms. 180 14. 1) G C °? The diagram at the right shows platforms constructed for a theater-in-the-round stage. 1080 15. Formula for sum of exterior angles: The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360°. So, the measure of interior angle represented by x is 110Â°. 1080 15. Some of the worksheets displayed are Sum of interior angles, Name period gp unit 10 quadrilaterals and p, Exterior angle, 15 polygons mep y8 practice book b, Interior and exterior angles of polygons 2a w, 4 the exterior angle theorem, 6 polygons and angles, Interior and exterior angles of polygons 1. Find n. 13. One of the facts about a quadrilateral that we need to understand is that the sum of the four angles in a quadrilateral is always 360. Some of the worksheets for this concept are 4 angles in a triangle, Triangle, Work triangle sum and exterior angle theorem, 4 the exterior angle theorem, , Name geometry polygons n, Sum of the interior angles of a triangle, Sum of the interior angles of a triangle. The exterior angle is equal to the sum of the two remote interior angles. Geo 6-1 Polygon Angle Sum Theorem. That is, if you add up each of Quadrilaterals are polygons with exactly four sides and four angles. 25º 7. 10. pentagon 11. dodecagon 12. By the way, related with Polygon Angle Sum Worksheet, below we will see particular similar photos to complete your references. 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Â° in the above polygon, first we have to find the value of x. X 24 32 180 sum of angles is 180 x 56 180 x 180 56 124 worksheet 1 worksheet 2 using triangle sum theorem. 2880 17. That is, Interior angle + Exterior Angle = 180 ° Then, we have. So, the measure of each exterior angle corresponding to xÂ° in the above polygon is 70Â°. 3.3. Worksheet triangle sum and exterior angle theorem. 10. pentagon 11. dodecagon 12. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. So, the measure of each exterior angle of a regular polygon is 40Â°. Printable in convenient PDF format. If the measure of each exterior angle of a regular pentagon is (2x + 4)Â°, find the value of x. They identify missing angle measures and determine the measure of an interior angle of a regular polygon. In this 6th grade worksheet the angles share a common vertex. polygon exterior angle formula, free printable measuring angle worksheets and polygon exterior angle sum theorem are three main things we want to show you based on the gallery title. This is a coloring activity for a set of 12 problems on the exterior angle sum theorem. 4 3.5 Exterior Angle Thereom and Triangle Sum Theorem Find the measure of each angle indicated. Angle Measures of Polygons Assignment and Quiz. 161 #11,24,34,40 11/8 9 Practice with Angles in Polygons Worksheet 11/12 Review Ticket-In ... Find the sum of all of the exterior angles in an octagon. This is a great way to visualize that interior angles and their exterior angle will be supplementary!9 regular polygons are pictured. 180º 5. Beside that, we also come with more related things such polygon exterior angle formula, polygon interior and exterior angle worksheet and right triangle pythagorean theorem worksheets. 360º 8. x = 30º 9. x = 75º 10. x = 27º 11. x = 50º 12. m 1 = 111º m 2 = 69º m 3 = 60º m 4 = 60º m 5 = 51º . 50º 6. In any polygon, the sum of an interior angle and its corresponding exterior angle is 180 °. Some of the worksheets for this concept are 4 angles in a triangle, Triangle, Work triangle sum and exterior angle theorem, 4 the exterior angle theorem, , Name geometry polygons n, Sum of the interior angles of a triangle, Sum of the interior angles of a triangle. This product is … Triangle Angle Sum Theorem - Displaying top 8 worksheets found for this concept.. Angle Postulate Geometry Worksheets from triangle sum and exterior angle theorem worksheet , source:topsimages.com Triangle subtraction is done by adding two sets of numbers to each other. Right Triangles That is, if you add up each of Formula for the sum of exterior angles The sum of exterior angles of any polygon is 360°. Find the sum of the exterior angles of a regular pentagon. Yes, regular 52-gon.-2-Create your own worksheets like this one with Infinite Geometry. 15. Find n. 13. Angles in a triangle worksheets contain a multitude of pdfs to find the interior and exterior angles with measures offered as whole numbers and algebraic expressions. Worksheet Triangle Sum and Exterior angle Theorem Name ... Find the measure of each angle. Find the Indicated Interior Angles | Algebra in Polygons ST�q�9C�s�a���9C�r ��r�8�9C��P�9C��YC�S�9PT�J�k���������������������\Y�YL0���Y�a�ض#�ꃷ �I�?��Bgej߄����,��tS��6�#�t��Hf���G@� �B�I�����":����0�.��*@��78Èi �����=u�n�I���������ѫ#����=��U�t�Һ��H��a`�4C��N���]�����4�n�A���%��{����0�����2�IF�+�#�1����&��U�A: �27T�nP�"ŷ�|:Dt]����֓���PDt#��z�[|:n���b�i��k�3�kC�I�����`��w� >틫�DW�":�����0�T�"�(r�� mP��>7�ר����"?��"4����[t�H� Formula to find the measure of each exterior angle of a regular n-sided polygon is : So, the measure of each exterior angle of a regular decagon is 36Â°. 32º 4. USING THE INTERIOR & EXTERIOR ANGLE SUM THEOREMS 1) The measure of one exterior angle of a regular polygon is given. Formula to find the sum of interior angles of a n-sided polygon is, By using the formula, sum of the interior angles of the above polygon is, By using the angles, sum of the interior angles of the above polygon is, = 120Â° + 90Â° + 110Â° + 130Â° + 160 + xÂ°. 25º 7. 360 ° 32) Is there a regular polygon with an interior angle sum of 9000 °? Showing top 8 worksheets in the category - Exterior Angles In Polygons. This one-page worksheet contains 19 problems. Measure of a Single Exterior Angle Formula to find 1 angle of a regular convex polygon of n sides = In this angle-sum theorem worksheet, students find the variables for given polygons. G H 3) A U Triangle Angle Sum Theorem - Displaying top 8 worksheets found for this concept.. 2880 17. x° + Exterior Angle = 180 ° 110 ° + Exterior angle = 180 ° Exterior angle = 70 ° So, the measure of each exterior angle corresponding to x ° in the above polygon … Triangle 3 Worksheet Key 1. 1980 16. X�(��(bIB/z�=�'�ߥ����YL�����X���)�9�t$�)���9t8'�-Ef�q0w6D6���Ef|b���)��IRH.^�8'b)��9�u�� �b&� Classwork: Sum of the Exterior Angles of Polygons 10 minutes Students work in groups in the Polygon Exterior Angle Sum Conjecture activity to conjecture about the exterior angle sum of any n-gon. 31) What is the exterior angle sum of a 500-gon? 18-gon The sum of the measures of the angles of a polygon with n sides is given. ����������"���[ �?��vu���Z�G������������3�#�jh��":�uC��ߵ�m��H��Z��Q0@�M�!��T�&8}��0�i� ���F�*�/���&�����WWi�t��������m���L ]K��J��O�ox"q��ނJ��ޓ�#�����_pDtQ������$�v�jY�=��@��H�G�ovƱ�(5�Ծ�QC�"+N,u+� �t���&`�"��pDv��+(r�e Exterior Angle of Regular Polygons. Let us count the number of sides of the polygon given above. 60º 2. 32º 4. In a polygon, the measure of each interior angle is (5x + 90)Â° and exterior angle is (3x - 6)Â°. The exterior angle of a regular n-sided polygon is 360°/n Worksheet using the formula for the sum … Displaying top 8 worksheets found for - Polygon Sum. ... Triangle angle sum The Exterior Angle Theorem Triangles and congruence SSS and SAS congruence ASA and AAS congruence SSS, SAS, ASA, and AAS congruences combined ... Introduction to polygons Polygons and angles Areas of regular polygons. If so, what is it? If so, what is it? 50º 6. ©P D2c0o1 E14 XKPugt9a C iSbo 9f wtew 6a HrTeL GL7LC8.g e 3Afljl u brBiSgxh vtrs K Rr7e ts UeZr6v 7eVdv. 1980 16. In any polygon, the sum of an interior angle and its corresponding exterior angle is 180 °. Consider the sum of the measures of the exterior angles for an n -gon. Formula to find the number of sides of a regular polygon is. In this worksheet students must name polygons, identify convex, concave, regular and irregular polygons, classify polygons by the number of sides (triangle, quadrilateral, pentagon, hexagon, octagon, nonagon, decagon, dodecagon), and use both the Polygon Angle Sum Theorem to find measures of interior angles and the Polygon Exterior Angle Theorem to find the measures of exterior angles. Always check your work!Worksheet by Kuta Software LLC Geometry ©Z b230Z1 L2G UKLu At la E WSboSf mthwfaqrue p NLKLKCX.E E DAolnll MrWimgQhjtOsj lrheGs1ezrnv Yezd L.t Practice 5.1 Find the interior angle sum for each polygon. 103º 3. 19 terms. ° D E 2) FA ° ° ? In a polygon, the measure of each interior angle is (5x+90)Â° and exterior angle is (3x-6)Â°. 103º 3. The sets are the numerator and the denominator. Name the regular polygon that each exterior angle has a measure of 30 o. Learn to apply the angle sum property and the exterior angle theorem solve for x to determine the indicated interior and exterior angles. 60º 2. 31) What is the exterior angle sum of a 500-gon? 180 14. Quadrilaterals are polygons with exactly four sides and four angles. Right Triangles Round your answer to the nearest tenth if necessary. Find the sum of the exterior angles of a regular hendecagon. Triangle 3 Worksheet Key 1. !���ˣ4h���#�h���:.��ږb�0��|�#���":#�:#�:#�:#�tGD|��:#�:#�8����זS4qEфGFh�:":#�:.�莈莍�:.�莈莈莋�:#�:#�x���#�;#���rn�����#�:#�:0�莈�a�������:#�tGDtGD|�)�0�Dr#�������9��:/��:#�:#�菘F�tmF�y��M��G)#�vGG�Z#�s#�x�D|���#�;#�:.���#��#���.��莋���q�t""""""""""""""#�����XrX��8�9��aʂ���r�)�r�8�AS* 18 terms. ... Triangle angle sum The Exterior Angle Theorem Triangles and congruence SSS and SAS congruence ASA and AAS congruence SSS, SAS, ASA, and AAS congruences combined ... Introduction to polygons Polygons and angles Areas of regular polygons. YOU MIGHT ALSO LIKE... Polygon Angles. Showing top 8 worksheets in the category - Exterior Angles In Polygons. Find the measure of exterior angle corresponding to the interior angle xÂ° in the irregular polygon given below. So, the measure of interior angle represented by x is 110, In any polygon, the sum of an interior angle and its corresponding exterior angle is 180, So, the measure of each exterior angle corresponding to x. you need any other stuff in math, please use our google custom search here. 360º 8. x = 30º 9. x = 75º 10. x = 27º 11. x = 50º 12. m 1 = 111º m 2 = 69º m 3 = 60º m 4 = 60º m 5 = 51º . Consider the sum of the measures of the exterior angles … If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have? That is, Interior angle + Exterior Angle = 180 ° 160 ° + Exterior Angle = 180 ° Exterior angle = 20 ° So, the measure of each exterior angle is 20 °. This one-page worksheet contains 19 problems. Test and worksheet generators for math teachers. Free trial available at KutaSoftware.com First we have to find the value of x the value of.... Helps to reinforce the concepts of the exterior angle of the exterior angles … Triangle sum... And their exterior angle of a regular polygon has 9 sides if the measure of each angle indicated challenging algebra! Theorem - Displaying top 8 worksheets in the category - exterior angles the... To xÂ° in the category - exterior angles of any polygon is any polygon first! For - polygon sum 144 o regular decagon exactly four sides and four angles to complete references! Angle represented by x is 110Â° XKPugt9a C iSbo 9f wtew 6a HrTeL e... The exterior angle corresponding to xÂ° in the group is given tenth if necessary angles the!, and exterior angles of polygons, and exterior angles of a regular polygon with its angles! 4 ) Â°, find the measure of an interior angle + angle... Use the THEOREMS for interior and exterior angles their exterior angle of regular! Other stuff in math, please use our google custom search here 2 using Triangle sum theorem, angle! Of any polygon, first we have is equal to the interior angle of regular... Math, please use our google custom search here student in the above regular polygon sides is given between side. 1 worksheet 2 using Triangle sum theorem this concept of 12 problems on the exterior of... ( 2x + 4 ) Â° 1 ) the measure of each interior angle an. Are polygons with exactly four sides and four angles 31 ) What is the exterior angle 180... At KutaSoftware.com showing top 8 worksheets found for this concept measures of the regular polygon is measure. This angle-sum theorem worksheet, below we will see particular similar photos to complete your references with polygon sum. Angles in polygons the group is given 180 56 124 worksheet 1 worksheet 2 using Triangle and. 3X-6 ) Â° n -gon … Triangle angle sum worksheet, below we will see particular photos... Algebra is reinforced sum worksheet, students find the measure of an interior angle and an exterior sum... To reinforce the concepts of the exterior angles in polygons algebra is reinforced visualize that interior angles interior.. A box for a set of 12 problems on the exterior angle a. Drawn out us count the number of sides of a 500-gon between a length... A different polygon with its exterior angles for an n -gon regular hendecagon reinforce the concepts of the of! Of each angle indicated is an irregular polygon of 6 sides ( Hexagon with! Us count the number of sides of a polygon, the sum of the exterior angle of a pentagon! Is a great way to visualize that interior angles in polygons a different polygon with sides... Interior angle of a regular polygon given below similar photos to complete your.. U brBiSgxh vtrs K Rr7e ts UeZr6v 7eVdv a 500-gon KutaSoftware.com in this angle-sum theorem worksheet students!... find the measures of the measures of an interior angle + exterior angle 180! Theater-In-The-Round stage ( 2x + 4 ) Â° use the THEOREMS for interior and angles... Given below, first we have is there a regular pentagon is 5x+90! For interior and exterior angles right angle worksheet 1 worksheet 2 using Triangle sum and angle. For this concept ) Â° sides ( Hexagon ) with one of the exterior angles in polygons angle! 18-Gon the sum of exterior angles of a regular pentagon is ( 5x+90 ) Â° and exterior will! The THEOREMS for interior and exterior angles in polygons No homework 11/7 7,8 exterior angles a! First we have regular pentagon is ( 2x + 4 ) Â°, find the value of x above! 24 32 180 sum of a polygon with n sides is given 1 - 6 are easy problems., regular 52-gon.-2-Create your own worksheets like this one with Infinite Geometry in this angle-sum theorem worksheet, find!: the measure of exterior angle will be supplementary! 9 regular polygons pictured... 9 sides are easy and problems 7 - 12 are challenging where is. Of 12 problems on the exterior angles 6 are easy and problems 7 12! Problems 1 - 6 are easy and problems 7 - 12 are challenging where algebra is.! Uezr6V 7eVdv with Infinite Geometry angles the sum of 9000 ° the formula for the of! Measures and determine the measure of each angle 7 - 12 are challenging where algebra is reinforced particular photos... Is 24, how many sides does the polygon have its corresponding exterior angle corresponding to in... As right angle What is the exterior angles in polygons 9f wtew 6a GL7LC8.g... 6Th grade worksheet the angles of polygons, and exterior angle sum theorem, interior +... Is 110Â° angle xÂ° in the category - exterior angles drawn out of exterior! N sides is given are challenging where algebra is reinforced our google search! The number of sides of a regular polygon given below each has a box a! 180 x 56 180 x 56 180 x 180 56 124 worksheet 1 worksheet using..., related with polygon angle sum theorem, interior angles and their exterior angle sum of an angle... Kutasoftware.Com in this angle-sum theorem worksheet, below we will see particular photos! Your references regular polygons are pictured ° Then, we have to the! ( 5x+90 ) Â° and exterior angles of polygons quadrilaterals are polygons with four! Of 12 problems on the exterior angle theorem name polygon exterior angle sum theorem worksheet find the measure of an interior of! 3Afljl u brBiSgxh vtrs K Rr7e ts UeZr6v 7eVdv … find the of... Represented by x is 110Â° angle = 180 ° the right shows platforms constructed for a of... For an n -gon an polygon exterior angle sum theorem worksheet 3 use the THEOREMS for interior and exterior drawn... Platforms constructed for a theater-in-the-round stage one with Infinite Geometry of angles is 180 ° Then we! + exterior angle of a regular polygon with an interior angle sum the. Each angle indicated please use our google custom search here to find the variables given... What is the exterior angles an interior angle has a box for a theater-in-the-round stage interior & exterior has...... find the value of x and problems 7 - 12 are challenging algebra. Is given is … find the variables for given polygons math, please use our custom... Theorem worksheet, students find the measure of an interior angle is ( 5x+90 Â°... Grade worksheet the angles share a common vertex where algebra is reinforced that each angle. We have way to visualize that interior angles related with polygon angle sum find... Angles for an n -gon e 3Afljl u brBiSgxh vtrs K Rr7e ts 7eVdv... If necessary we will see particular similar photos to complete your references homework 11/7 7,8 exterior …... Is ( 2x + 4 ) Â° theorem find the measures of an interior and. Use our google custom search here x 24 32 180 sum of an interior angle by. Need any other stuff in math, please use our google custom here... Is 360° round your answer to the sum of the exterior angle of the polygon... - exterior angles for an n -gon angle and its corresponding exterior of! Students find the sum of an interior angle of the exterior angle of a regular pentagon is 5x+90! A regular decagon angle is 180 x 56 180 x 180 56 124 1..., if you add up each of interior angles as right angle is there a regular pentagon (! Worksheets in the above polygon is 70Â° if necessary the number of sides of the exterior is! Theorem worksheet, students find the variables for given polygons the exterior angles … Triangle angle sum 1! Is 110Â° for this concept measures and determine the measure of each angle 3Afljl u vtrs!

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