Question

Find the measure of each interior angle of a consecutive regular polygon of $9$ sides.

• A. ${140}^{\circ }$
• B. ${190}^{\circ }$
• C. ${120}^{\circ }$
• D. ${160}^{\circ }$

Answer 1

The correct option is A ${140}^{\circ }$

$\text{Each interior angle of regular polygon of n sides is given by}\frac{180(n-2)}{n}degree$
$\text{Here n=9}$
$\therefore \text{each interior angle}=(\frac{180(9-2)}{9}{)}^0$
$={140}^0$