Question

In a polygon, the ratio of interior to exterior angle is 2:3. What is the measure of exterior angle?

Answer 1

Answer:

$\large\boxed{\red{\mathbb{Given :}}}$

ratio of exterior angle and interior angle of a regular polygon = 2 : 3

$\large\boxed{\red{\mathbb{solution}}}$

Let exterior angle be 2x and interior angle be 3x.

We know that , each interior angle of a

regular polygon = 180° - (exterior angle)

So, 3x = 180° - 2x

5x = 180°

x = 36°,

So, exterior angle = 2*36 = 72°