A regular polygon has each of it angles as \(160^{\circ}\). What is the number of sides of the polygon?
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option C
Explanation:
For \(n\) sided polygon, each interior angle
\begin{aligned}
&=\frac{180(n-2)}{n} \\
&160 \times n=180(n-2) \text {; we divide through by } 20 \\
&8 n=9(n-2) \\
&8 n=9(n-2) \Longrightarrow n=2 \times 9=18 \\
&8 n=9 n-18.18=9 n-8 n, n=18
\end{aligned}
For \(n\) sided polygon, each interior angle
\begin{aligned}
&=\frac{180(n-2)}{n} \\
&160 \times n=180(n-2) \text {; we divide through by } 20 \\
&8 n=9(n-2) \\
&8 n=9(n-2) \Longrightarrow n=2 \times 9=18 \\
&8 n=9 n-18.18=9 n-8 n, n=18
\end{aligned}