Question

is it possible to have a regular polygon whose interior angle is 52°?
give reasons.
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Answer 1

Answer:

No

Step-by-step explanation:

for any polygon ( a closed region with more than 3 sides), summation of every exterior angle must be equal to 360°

here exterior angle will be, 180 - 52 = 128

and 360 is not divisible by 128

it means, if we divide 360 by 128 it gives around 2.8125 which is not an integer. ( number of sides of the polygon should be integer.)

so any polygon with interior angle 52° is not possible.

I hope this will help you.

Thank you.

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