Question

What is the measure of each interior angle of a regular 15 sided polygon?

Answer 1

156°

Explanation:

The sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15, thus

sum = 180° × 13 = 2340°

Divide the sum by the number of sides for each interior angle, that is

interior angle = 2340° ÷ 15 = 156°

Answer 2

• Here each triangle has has 180°

• so the sum of the interior angles of the 15 sided polygon must be 13 × 180 = 2340° .

• 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 °

Ans:-
`\red{\bold{\boxed{156 \degree}}}`