Question

Find the number of sides of a regular polygon whose each exterior angle has a measure of 72°. (line bye explain please)​

Answer 1

Answer :-

Given :-

• Each exterior angle of regular polygon = 72°

To Find :-

• Number of sides

Solution :-

We know that,

Each exterior angle of regular polygon = 360° / number of sides

Here, we are given exterior angle. So, by simply substituting the value in the above formula, we can find number of sides -

→ 72 = 360 / n

→ 72n = 360

→ n = 360 / 72

→ n = 5

The number of sides of a regular polygon whose each exterior angle has a measure of 72° is 5.

Answer 2

Solution :

Each exterior angle of regular polygon = 72°

Each exterior angle of regular polygon =

360° / number of sides

Then, Substitute the value in the formula,

=> 72 = 360/n

=> 72n = 360

=> n = 360/72

=> n=5

∴ The number of sides of a regular polygon whose each exterior angle has a measure of 72° = 5