Question

e correct option:
What is the measure of each exterior angle of a regular polygon of 15 sides?
(a) 30°
(b) 45°​

Answer 1

Solution:–

Substituting n = 15 in the formula

$\tt (x = \dfrac{360°}{n})$ for exterior angle, we get

.

$\tt x = \dfrac{360 \degree}{n} = \dfrac{360 \degree}{15} =24 \degree$

.

Exterior angle of a 15-sided regular polygon = 24°

Interior angle of a 15-sided regular polygon = 180° – 24° = 156°

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Answer:–

Exterior angle = 24°

Interior angle = 156°

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