Question

Find number of sides in a regular polygon whose each interior angle is 162°​

Answer 1

Answer:

Step-by-step explanation:

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

So..

360/18=20

Therefore, the polygon has 20 sides

Answer 2

Answer:

20 Sides

Step-by-step explanation:

(n − 2 all divided by n)180 = 162

180n − 360 = 162n

180 n − 162n = 360

18n = 360

n = 20 Sides