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