21. Regular polygons with 5, 6, 7, and 8 sides are inscribed in the same circle, No two of the polygons share a vertex, and no three of their sides intersect at a common point. At how many points inside the circle do two of their sides intersect? (A) 52 (B) 56 (C) 60 (D) 64 (E) 68 O A. O B. O C. O D. O E. Clear-

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.3: More About Regular Polygons
Problem 41E
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21. Regular polygons with 5, 6, 7, and 8 sides are inscribed in the same circle.
No two of the polygons share a vertex, and no three of their sides intersect
at a common point. At how many points inside the circle do two of their
sides intersect?
(A) 52
(B) 56
(C) 60
(D) 64
(E) 68
O A.
Ов.
Ос.
O D.
O E.
Transcribed Image Text:21. Regular polygons with 5, 6, 7, and 8 sides are inscribed in the same circle. No two of the polygons share a vertex, and no three of their sides intersect at a common point. At how many points inside the circle do two of their sides intersect? (A) 52 (B) 56 (C) 60 (D) 64 (E) 68 O A. Ов. Ос. O D. O E.
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