161k views
2 votes
Find the number of sides of a regular polygon if one interior angle is 60 degrees.

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

User TravisJ
by
8.3k points

2 Answers

4 votes

Answer:

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

User Thomas Piard
by
8.0k points
3 votes
"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.
User Tobias Wollgam
by
8.7k points

No related questions found