Question

Find the number of sides of a regular polygon with an interior angle of 108 degree

Answer 1

Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5. Hence it is a regular pentagon.

Answer 2

Given :

Interior angle of a regular polygon is 108 degree.

ㅤㅤ

To find :

Find the number of sides of a regular polygon.

ㅤㅤ

Using formula :

★ Number of sides = 360/Exterior angle.

ㅤㅤ

We know that :

Exterior angle is not know to us so, let's find the exterior angle to find apply the above formula in the calculations.

ㅤㅤ

Finding the exterior angle :

→ Exterior angle = 180° - 108°

→ Exterior angle = 72°

ㅤㅤ

Calculations :

→ Number of sides = 360/72

→ Number of sides = 5

ㅤㅤ

Therefore, number of sides of the polygon is 5 sides.