Question

hey mates : )
===================
choose the correct option and justify your answer :

if each of the exterior angle of a regular polygon is twice its interior angle,then its number of sides are:

a} 3
b} 4
c} 5
d} 6
==============
no spams -_-
thnx ^_^

Answer 1

In a regular polygon each interior is Double that of the exterior angle.

So if each External angle is x, the Adjacent interior Angle is 2x.

Now, x+2x=3x

3x=180

x=60

So the number of sides in the regular polygon is 360/60=6

The Answer will be 6......

Hope it's Helpful for you......

Answer 2

Answer:

we know that sum of interior and exterior angle in polygon is =180 (stright angle )

now

let interior angle be X

so exterior =2x

According to question

X+2x=180

3x=180

X=60

sum of interior angle of polygon =360

number of side =360/60

number of side =6