Question

The measure of each interior angle of a regular pentagon is

• A. On the boundary
• B. Interior of the figure
• C. Exterior of the figure
• D. In the ground

Answer 1

The correct option is B Interior of the figure

A pentagon has 5 sides
$\therefore n=5$
In a regular polygon, all the interior angles are equal and alll the exterior angles are equal.
$\therefore e^{\circ }=\frac{360}{n}{e}^{\circ }=\frac{360}{5}={72}^{\circ }\text{we know},i+e={180}^{\circ }i={180}^{\circ }-{72}^{\circ }={108}^{\circ }$