Question

A 15-sided polygon has all its angles equal. How much is each angle? ​

Answer 1

Answer:

Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees

Answer 2

Step-by-step explanation:

Given :

A polygon of 15 sides whose all 15 interior angles are equal.

To find :

Each interior angle.

Solution :

Exterior angle of a n-sided regular polygon

= 360/n

Here, n = 15.

Therefore, Exterior angle = 360/15 = 24°

Interior angle + Exterior angle = 180°

Therefore, each interior angle = 180 - 24 = 156°

Hence, each interior angle = 156°.