If a pentagon is a regular pentagon, then what is the measure of each interior angle?

Pentagons are 5-sided polygons. A pentagon with all equal angles and sides is known as a regular pentagon. Let's find the measure of each interior angle of a pentagon. 

Answer: If a pentagon is a regular pentagon, then the measure of each interior angle is 108 degrees.

Let's understand the solution in detail.

Explanation:

It is given that the pentagon is regular. Hence, all of its angles are equal.

To find the measure of each interior angle of any regular polygon, we use the formula {(n - 2) × 180} / n degrees, where n is the number of sides of the polygon.

Now, for a pentagon, n = 5.

Hence, using the formula above formula, we get {(5 - 2) × 180} / 5 = 108 degrees.

You can try Cuemath's Interior Angles Of Polygon Calculator to verify your answer.

Hence, If a pentagon is a regular pentagon, then the measure of each interior angle is 108 degrees.