Math, asked by Anonymous, 2 months ago

13. Find the measure of each interior angle of a regular
polygon with 16 sides plz help me quick​

Answers

Answered by ayushv604
2

Each angle would be 22.5 degrees. (360÷16)

Answered by DarkenedSky
53

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 x 180/16

= 157.5°

Hence, Measure of each interior angle of a regular polygon is

157.5°

Hope it Helps

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