Q6. - Geometry

Question

The measure of each interior angle of a regular pentagon is  ____.

Step-by-Step Solution

Answer

$108°$

Step 1. Given information.

The given statement is “The measure of each interior angle of a regular pentagon is$\underset{¯}{}$”.

Step 2. Formula used.

The measure of each interior angle of a regular polygon with $n$ sides is:

$\begin{array}{c}=\frac{180(n-2)}{n}\\ \end{array}$

Step 3. Soluton.

Consider pentagon,

$\begin{array}{l}n=5\\ \\ \Rightarrow \frac{180(n-2)}{n}\\ =\frac{180(5-2)}{5}\\ ={108}^0\end{array}$

Therefore, the blank is filled with$108°$ .