The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 20

Internal angle =

Number of sides = 18

Step-by-step explanation:

Given that:

We have a regular polygon with number of sides unknown.

Measure of an exterior angle of the polygon =

To find:

Measure of an interior angle and the number of sides of the polygon?

Solution:

Let us have a look at the relation of sum of external angles.

Sum of one internal angle and its corresponding external angle =

Internal angle + external angle =

Internal angle = - =

Sum of all the external of a regular polygon =

All the external angles will be equal because it is a regular polygon.

Let the number of sides =

Therefore,

Therefore, the answers are:

Internal angle =

Number of sides = 18

there is no grid

step-by-step explanation: