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What is the sum of the interior angle measures of a regular 24-gon?

What is the sum of the interior angle measures of a regular 24-gon?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What is the sum of the interior angle measures of a regular 24-gon? 2. Pentagon ABCDE has interior angles that measure 60° and 160 and another pair of interior angles that measure 130° cach. What is the measure of an interior angle at the fifth vertex? A student completed the following exit ticket. ZY130 +60 +160+K=(5-2)180 350-XSHO 24 Which of the following statements is true? O Both answers are correct. Answer #1 is incorrect. The student found the individual angle, not the sum of the angles. The answer should be 3960°. Answer #2 is correct. © Answer #1 is correct. Answer #2 is incorrect. There are two angles measuring 130°, but only one was counted in the sum. The answer should be 60°. Both answers are incorrect. In #1 the student found the individual angle, not the sum of the angles. The answer is 3960°. In #2 there are two angles measuring 130°, but only one was counted in the sum. The answer should be 60°.
Transcribed Image Text:What is the sum of the interior angle measures of a regular 24-gon? 2. Pentagon ABCDE has interior angles that measure 60° and 160 and another pair of interior angles that measure 130° cach. What is the measure of an interior angle at the fifth vertex? A student completed the following exit ticket. ZY130 +60 +160+K=(5-2)180 350-XSHO 24 Which of the following statements is true? O Both answers are correct. Answer #1 is incorrect. The student found the individual angle, not the sum of the angles. The answer should be 3960°. Answer #2 is correct. © Answer #1 is correct. Answer #2 is incorrect. There are two angles measuring 130°, but only one was counted in the sum. The answer should be 60°. Both answers are incorrect. In #1 the student found the individual angle, not the sum of the angles. The answer is 3960°. In #2 there are two angles measuring 130°, but only one was counted in the sum. The answer should be 60°.
124 A 64° B a. If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon above. b. Does the same exterior angles rule for regular polygons apply to irregular polygons? Justify your answer.
Transcribed Image Text:124 A 64° B a. If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon above. b. Does the same exterior angles rule for regular polygons apply to irregular polygons? Justify your answer.
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