Find the measure of an interior angle of a regular polygon with 15 sides. Round to the nearest tenth if necessary.

Question

Mathematics

Kailey Huber

12 November, 14:49

Find the measure of an interior angle of a regular polygon with 15 sides. Round to the nearest tenth if necessary.

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Answers (1)

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Colton Lloyd · Answer 1

156 dergrees

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15 must be 13 * 180 = 2340 degrees. Since the 15 is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 : 15 = 156 degrees.