What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72°

The sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72° is 540°.

Step-by-step explanation:

The formula to find the measure of each exterior angle of a regular polygon is

It is given that the measure of each exterior angle of a regular polygon is 72°.

Multiply both sides by n.

Divide both sides by 72.

It means the number of vertices of the polygon is 5. It means the given polygon is pentagon.

The sum of interior angles of a regular polygon is

Substitute n=5.

Therefore the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72° is 540°.

what are ur choices?

11

step-by-step explanation:

32.50-7.50=25

225/25=11