Question

Find the measure of each exterior angle of a regular polygon which has 15 sides

Answer 1

Answer:

Step-by-step explanation:

The sum of all angles of exterior polygon = 360°

15x = 360°

X= 360÷15

X = 24°

Answer 2

Given:

Number of sides of the regular polygon = 15 sides

To Find:

The measure of each exterior angle.

Formula:

Sum of angles a regular polygon = $(x=2) \times 180^{o}$

Solution:

According to the question,

Sum of angles a regular polygon having side 15 = $(5-2) \times 180^{o}$

$:\implies 13 \times 180^{o} = 2340^{o}$

Therefore,

Each exterior angle = $\frac{2340}{15} =156^{o}$

∴ Each exterior angle = $180^{o} -156^{o} = \boxed{24^{o} }$

Hence, the exterior angle is 24 degree