Question

find find the number of sides of a regular polygon when each of its angles has a measure of 162 degree​

Answer 1

Answer:

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.

please mark brainliest

Answer 2

Formula for total angle in the polygon =(n-2)*180 where n= number of sides.

So (n-2)180/n = each angle of the polygon.

Thus (n-2)180=162n.

Solve the following eqn to find n.

I think you get 18n= 360.

n=20.

Thus the number of sides of polygon is 20!

Cheers Mark brainliest Sub to pewds.