Answered: 7. If the sum of the interior angles of…

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7. If the sum of the interior angles of a regular polygon is 900°, find the number of sides.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 1E: a What is true of any pair of corresponding angles of two similar polygons? b What is true of any...

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7. If the sum of the interior angles 8
of a regular polygon is 900°,
find the number of sides.
Find the valuc of cach variable
10

Expert Solution

Step 1

$G i v e n, T h e s u m o f t h e i n t e r i o r a n g l e s o f a r e g u l a r p o l y g o n i s 900 ° . W e k n o w t h a t, T h e s u m o f t h e i n t e r i o r a n g l e s o f a r e g u l a r p o l y g o n i s g i v e n b y S u m o f t h e i n t e r i o r a n g l e s = 180 (n - 2) °; w h e r e n = n u m b e r o f s i d e s$

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