Question

Find the measure of each interior angle of a regular polygon of 10 side

Answer 1

Answer:

Step-by-step explanation:

Answer 2

☆ Given ☆

• The side of a regular polygon = 10.

☆ To find ☆

• The measure of each interior angle.

☆ Solution ☆

Let the measure of each interior angle be x. ( Regular polygon are equiangular )

Then, the measure of each exterior angle is ( 180° - x ).

Sum of all the exterior angle is 10 × ( 180° - x ).

We know that this sum is 360° .

Thus, 10 × ( 180° - x ) = 360 °

180° - x = 36°

=> x = 180° - 36° = 144°

Therefore, the measures office interior angle of a regular polygon of 10 sides is 144°.