Question

14) In a regular polygon, each interior angle is four
times the exterior angle. Find the number of
sides of the polygon.​

Answer 1

10 sides

Step-by-step explanation:

suppose exterior angles is x.

and interior angle is 4x

:. x +4x=180._______(linear pair)

:.5x=180

:.x=180/5

x=36

Number of sides- 360/x=360/36= 10....

:.The side of the polygon is 10 .

Answer 2

Answer:

let exterior angel be x

and

interior be 4x ( it is four times the ex. angel)

x+4x =180 (linear pair)

x = 180/5

=36

no of sides = 360/36

=10