Question

Find the measure of each interior angle of a regular polygon with 16 sides.

Answer 1

measure of interior angle is 157.5
find exterior angle from this formula 360÷16

then to find interior angle
180 -exterior angle

Answer 2

☆ Given ☆

• Side = 16

☆ To Find ☆

• Measure of each interior angle of a regular polygon .

☆ 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°.