Question

the exterior angle of regular polygon is one third of its interior angle how many sides are regular polygon​

Answer 1

Answer:

8 sides

Step-by-step explanation:

Let the interior angle be x°

Given:

exterior angle = 1/3 of x° or 1x/3

We know:

Each ext. angle+each int. angle =180°

1x/3+x=180°

1x+3x/3=180

4x=180×3

x=540/4 or 135

So int angle = 135°

ext angle = 1/3 × 135

= 45°

We know

No. of side of a regular polygon=360/ ext angle

=360/45

= 8.

HOPE IT HELPS UM