Find the measure of each interior angle of a regular polygon with 16 sides.
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Find the measure of each interior angle of a regular polygon with 16 sides.
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☆ Given ☆
☆ To Find ☆
☆ Step-by-Step-Explaination ☆
Let the measures of each interior angle be x .
( Regular polygons are equiangular )
Then the measures of each interior angles is ( 180° - x ).
Sum of all the exterior angle is 16 × ( 180° - x )
We know that this sum is 360°.
Thus,( n - 2) + 180/2
= ( 16 - 2 ) × 180/16
= 14 × 180/16
= 157.5°
Therefore, the measures of each interior angle of a regular polygon of 16 side 157.5°.
Verified answer
Measure of interior angle is 157.5find exterior angle from this formula 360÷16
then to find interior angle
180 -exterior angle