The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the drawing. Assume that you know that the measure of each interior angle of a (n - 2)180 regular polygon is a) Express the measure of each exterior angle as the supplement of the interior angle. b) Simplify the expression in part (a) to show that each exterior 360 angle has a measure of . 1/2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 9CT: a Given that the polygon shown has six congruent angles, this polygon is known as an __________...
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The adjacent interior and exterior angles of a polygon are
supplementary, as indicated in the drawing. Assume that you
know that the measure of each interior angle of a
(n - 2)180
regular polygon is
a) Express the measure of each
exterior angle as the supplement
of the interior angle.
b) Simplify the expression in part
(a) to show that each exterior
360
angle has a measure of .
1/2
Transcribed Image Text:The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the drawing. Assume that you know that the measure of each interior angle of a (n - 2)180 regular polygon is a) Express the measure of each exterior angle as the supplement of the interior angle. b) Simplify the expression in part (a) to show that each exterior 360 angle has a measure of . 1/2
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