Question

The number of sides of the regular polygon is 15 sides. Find the interior angle of the polygon?

Answer 1

Answer :-

The interior angle of the polygon is 156°.

Step-by-step explanation:

To Find :-

• The interior angle of regular polygon.

★ Solution

Given that,

• The number of sides = 15 sides

FIGURE :-

• Refer the attachment.

As we know that,

The interior measurement of regular polygon is {180(n - 2)}/n.

Where,

• n = number of sides.

Therefore,

⇒ {180(n - 2)}/n

⇒ {180(15 - 2)}/15

⇒ {180*13}/15

⇒ 2340/15

⇒ 156

Hence,

The interior angle of the regular polygon is 156°.