You are creating a graphic design logo that is made up of pentagons. In the middle you have a large, regular pentagon with all sides that are 8 inches long. You surround the middle design with similar regular polygons some with all sides 4 inches long and some with all sides 5 inches long. What must the measure of the angles be for each of the polygons in order for all the pentagons to be similar?

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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You are creating a graphic design logo that is made up of pentagons. In the middle you have a large, regular pentagon with all sides that are 8 inches long. You surround the middle design with similar regular polygons some with all sides 4 inches long and some with all sides 5 inches long. What must the measure of the angles be for each of the polygons in order for all the pentagons to be similar?

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