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08-01-2020
Mathematics

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

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josshyaby josshyaby

09-01-2020

Answer:

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

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