Question

Q.26. Find the number of sides 2 points
in a regular polygon if its
interior angle is equal to its
exterior angles.
​

Answer 1

We know,

(180-exterior angle) = Interior angle

Given, interior angle =exterior angle

Let the interior and exterior angle be x

ATQ

180-x=x

180=x+x

180=2x

180/2=x

90=x

Therefore, exterior angle =90°

And interior angle =90°

To find the no.of sides,

360°/exterior angle

360°/90°

=4

The no.of sides in the polygon is 4

Step-by-step explanation:

Hope it helps...