Question

the ratio of exterior angle to interior angle of regular polygon is 1:4 Find the number of sides of the polygon​

Answer 1

Answer:

Let the interior angle of the regular polygon be x

therefore the exterior angle will be x/4

Exterior angle + adjacent interior angle =180 degree

x/4 + x = 180

5x/4= 180

x = 180* 4/5

=144

the interior angle=144 degree

the exterior angle=36 degree

Let the no. of sides be n

n = 360/exterior angle

n=360/36

10

So, the no of sides of regular polygon is 10

Answer 2

Answer:

10 sides

Step-by-step explanation:

Hope it helps you..........