Question

the measure of each exterior of a regular polygon is 60. find the no. of sides of the polygon and hence the measure of each interior angle​

Answer 1

Answer:

No. of sides = 6

Measure of each interior angle is 120°

Step-by-step explanation:

To find no. of sides with exterior angle given the formula is 360/n.

Where n is the exterior angle.

= 360/60

= 6

No. of sides = 6

To find sum of all the interior angles of the polygon the formula is (n-2) × 180

Where n is the no. of sides.

= (6-2) × 180

= 4 × 180

= 720°

Now we have to find each interior angle of the polygon.

= 720/6

= 120°