Question

Each exterior angle of a regular polygon is 18 degrees. How many sides does the polygon have?

Answer 1

Answer:

Number of sides = 20

Step-by-step explanation:

$\begin{gathered}\begin{gathered}\bf Given -  \begin{cases} &\sf{exterior \: angle \: of \: regular \: polygon = 18} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf  To \:  Find :-  \begin{cases} &\sf{number \: of \: sides}  \end{cases}\end{gathered}\end{gathered}$

$\large\underline\purple{\bold{Solution :- }}$

We know that

$\boxed{ \purple{ \bf \: number \: of \: sides = \dfrac{360 \degree \: }{exterior \: angle}}}$

$\blue{\tt\implies \: number \: of \: sides \: = \dfrac{360}{18} = \bf \: 20}$