How many sides does a regular polygon have if each interior angle measures 162 degrees.

Question

asked Dec 20, 2023 131k views

1 Answer

Prabhav · Answer 1 · 2023-12-26T17:06:24+0000

The number of sides of the polygon is denoted by n

.Then we have the relation

On solving this,

Then,

$\begin{gathered} 180n-162n=360 \\ 18n=360 \\ n=(360)/(18) \\ n=20 \end{gathered}$

Hence the number of sides is 20.