Question

find the measure of each interior angele of a regular polygon with 16 sides.

Answer 1

Answer:

2520°

Step-by-step explanation:

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ .

Answer 2

Answer:

157.5 °

Step-by-step explanation:

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°.

the measures of each interior angle of a regular polygon of 16 side 157.5°.

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