Question

Find the number of sides of a regular polygon if one interior angle is 120 degrees.

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Answer 1

\(\bf \textit{sum of interior angles of a regular polygon}=n\theta=180(n-2)
\\ \quad \\
n=\textit{number of sides}
\\ \quad \\
\theta=120^o\qquad n(120)=180(n-2)\qquad \textit{solve for "n"}\)