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

Question

asked Apr 11, 2020 183k views

2 Answers

Dipo · Answer 1 · 2020-04-15T06:58:09+0000

ANSWER

108°

Step-by-step explanation

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

$\theta = ((n - 2) * 180)/(n)$

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;

$\theta = ((5 - 2) * 180)/(5)$

$\theta = (3* 36)/(1)$

This simplifies to:

$\theta = 108 \degree$

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