Question

Find the sum of interior angles of a polygon with 15 sides

Answer 1

Answer:A pentadecagon is a polygon with 15 sides. Each exterior angle of a regular pentadecagon = 360/15 = 24 deg, so each interior angle is 180–24 = 156 deg. And, the sum of the interior angles of a regular pentadecagon is 15*156 = 2340 deg.

Step-by-step explanation:

Answer 2

The sum of interior angles of a polygon with 15 sides = 2340°

Given :

A polygon with 15 sides

To find :

The sum of interior angles of the polygon

Formula :

The sum of interior angles of a polygon with n sides = ( n - 2 ) × 180°

Solution :

Step 1 of 2 :

Write down the number of sides

Here it is given that the polygon has 15 sides

Step 2 of 2 :

Find sum of interior angles of a polygon

Number of sides = n = 15

The sum of interior angles of a polygon with 15 sides

= ( 15 - 2 ) × 180°

= 13 × 180°

= 2340°

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