Question

find the number of sides of a regular polygon if each interior angle is 168 degree

Answer 1

Answer:

Step-by-step explanation:

The only number that stays the same for the angles of all polygons is that the sum of the exterior angles is 360°.

If you know the size of an exterior angle

(

θ

)

in a regular polygon you can find the number of sides:

360

°

÷

θ

=

number of sides

If you know the number of sides  

(

n

)

you can find the size of each exterior angle of a regular polygon.

360

÷

n

=

θ

Interior angle  

168

°

 

→

exterior angle

=

180

°

−

168

°

=

12

°

360

÷

12

°

=

30

sides.