Question

Each interior angle in a regular polygon is 144 degrees. Find the polygon. Also find the interior angle of a regular polygon which has twice the sides than the first polygon.
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Answer 1

Answer:

Step-by-step explanation:it's given that interior angle is 144°.

So exterior angle is 180°-144°=36°

We know that sum of exterior angles is 360°.So we divide 360° by 36° to get 10 which implies that it is a decagon.Twice of 10 sides is 20 sides.

We know that sum of interior angles is 180(n-2).Putting n=20 we get sum of interior angles is 32400°.We have 20 sides so measure of each interior angle will be 32400/20 =1620°

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