Answer
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Hint: A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of all angles of a regular polygon having n sides = 180 (n-2). To find the measure of one interior angle, we take that formula and divide by the number of sides n: \[\dfrac{{180(n - 2)}}{n}\].
Complete step-by-step answer:
From the above explanation we get:
\[ \Rightarrow \dfrac{{180(n - 2)}}{n} = {60^\circ}\]
\[
180n - {360^\circ} = 60n \\
120n = {360^\circ} \\
n = 3 \\
\]
Number of sides = 3
Note: While solving this problem one should know the basic simple formula to calculate the sides of a polygon from its angle given. It is wise to remember such formulas as it will help us to solve the problem quickly and it will not consume much time.
Complete step-by-step answer:
From the above explanation we get:
\[ \Rightarrow \dfrac{{180(n - 2)}}{n} = {60^\circ}\]
\[
180n - {360^\circ} = 60n \\
120n = {360^\circ} \\
n = 3 \\
\]
Number of sides = 3
Note: While solving this problem one should know the basic simple formula to calculate the sides of a polygon from its angle given. It is wise to remember such formulas as it will help us to solve the problem quickly and it will not consume much time.
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