Question

What is the measure of each interior angle of a regular polygon with 5 sides?

Answer 1

108 degrees because of the equation 180(n-2)/n. 180(5-2)/5= 540/5= 108.

Answer 2

ANSWER

108°

EXPLANATION

The measure of each interior angle of a regular polygon is given by

$\theta = \frac{(n - 2) \times 180}{n}$

where n refers to the number of sides of the polygon.

From the question we have n=5 in this case.

We substitute to obtain;

$\theta = \frac{(5 - 2) \times 180}{5}$

$\theta = \frac{3\times 36}{1}$

This simplifies to:

$\theta = 108 \degree$

Hence each interior angles of a regular polygon with 5 - sides is 108°