Question

the exterior angle of a polygon is one third of its interior angle find the number of sides in a polygon

Answer 1

Sum of exterior and interior angles is 180 deg.

If the interior angle is 3x, the exterior angle is x. Hence 3x+x = 4x = 180 or x = 45. The interior angle is 135 deg. So the polygon has 360/45 = 8 sides or it is a regular octagon

Answer 2

Answer:

Step-by-step explanation:

Sum of exterior and interior angles is 180 deg.

If the interior angle is 3x, the exterior angle is x.

Hence 3x+x = 4x = 180 or x = 45.

The interior angle is 135 deg.

So the polygon has 360/45 = 8 sides or it is a regular octagon