Find the measure of one interior angle for the following regular polygon

Question

asked Apr 7, 2022 40.4k views

2 Answers

Treefish Zhang · Answer 1 · 2022-04-11T01:36:40+0000

Answer:

108 degrees

Explanation:

The formula for the total sum of the angles in any REGULAR shape is

(n-2) * 180 , where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

$(5-2) * 180\\$

3 * 180

=
540

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

540/5 = 108