Question

Find the measure of each interior angle of a consecutive regular polygon of $5$ sides.

• A. ${130}^{\circ }$
• B. ${179}^{\circ }$
• C. ${156}^{\circ }$
• D. ${108}^{\circ }$

Answer 1

The correct option is D ${108}^{\circ }$

Each interior angle of regular polygon of n sides is given by ${\frac{180(n-2)}{n}}^o$
Here, $n=5$
$\therefore \text{each interior angle}={\frac{180(5-2)}{5}}^0={108}^0$