Question

The sum measure of the angles of a regular polygon is equal to 6 right angles . what is the measure of the exterior angle of this polygon?

Answer 1

Answer:

72°

Step-by-step explanation:

We know that the sum of interior angles of a polygon is given by

(n-2)×180°, where n is the number of sides.

A/Q:

(n-2)×180=6×90°

n-2=3

n=5

So it is a regular pentagon

m∠int= 540°÷5

        =108°

m∠ext=180°-108°=72°

Answer 2

Answer:

72

Step-by-step explanation:

6 right angles means 6 * 90 = 540

Sum of interior angles of a polygon = (n - 2) * 180

So, (n - 2) * 180 = 540

n - 2 = 3

or n = 5

Therefore each interior angle = 540 / 5 = 108

Sum of interior angle + its exterior angle = 180

Therefore exterior angle = 180 - 108 = 72