Question

Find the number of sides of a regular polygon if one interior angle is 60 degrees.

A.) 3
B.) 4
C.) 5
D.) 6

Answer 1

Number of sides of a regular polygon if one interior angle is 60 degrees is:

A.) 3

Explanation:

If a polygon has n sides then each interior angle is equal and given by the formula:

`((n-2)* 180\° )/(n)`

Here, we are given interior angle=60°

`60\°=((n-2)* 180\° )/(n)`

`60n=(n-2)180\\\\60n=180n-360\\\\180n-60n=360\\\\120n=360\\\\n=3`

Hence, number of sides of a regular polygon if one interior angle is 60 degrees is:

A.) 3

Answer 2

"3" is the one among the following choices given in the question that is the number of sides of a regular polygon if one interior angle is 60 degrees. The correct option among all the options that are given in the question is the first option or option "A". I hope the answer has actually come to your great help.