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"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.

Answer:

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

A.) 3

Step-by-step explanation:

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

\(\dfrac{(n-2)\times 180\° }{n}\)

Here, we are given interior angle=60°

\(60\°=\dfrac{(n-2)\times 180\° }{n}\)

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

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

A.) 3