Question

The size of an interior of angle of a polygon is 4x degrees ,while the size of the exterior angle is (x-20 degrees ) find the number of sides of the polygon

Answer 1

Answer:

18

Step-by-step explanation:

summation of exterior angle and interior angle of any polygon is 180 °

here,

interior angle = 4x

exterior angle = x -20

so,

4x + x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

so interior angle is 40*4

= 160

and exterior angle = 40 - 20

= 20

so.number of sides = 360/20

=18

I hope this will help you.

Thank you.

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