Question

find the number of sides of a regular polygon if each interior angle is 178

Answer 1

Answer:

Step-by-step explanation:

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.

Answer 2

Answer:

=180-360/n=162

=180n-162n=162n

=180n-162n=360

=18n=360

=n=360/18

=(n=20)ans