The measure of each interior angle of a regular polygon is 156°. Find the number of sides.

Question

Mathematics

Jorden Lloyd

12 April, 16:08

The measure of each interior angle of a regular polygon is 156°. Find the number of sides.

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Answers (1)

Know the Answer?

Casey Freeman · Answer 1

15 sides

Step-by-step explanation:

Interior angle = {n - 2}{180/n}

156 = {n - 2}{180/n}

Cross multiply

156n = {n - 2}180

156n = 180n - 360

180n - 156n = 360

24n = 360

n = 369/24

n = 15