Question

If each interior angle of a regular polygon is ${150}^{\circ }$, how many sides does this polygon have?

• A. $18$
• B. $16$
• C. $14$
• D. $12$

Answer 1

The correct option is D

$12$

Each interior angle of the polygon

$={150}^{\circ }$

Each exterior angle of the polygon

$({180}^{\circ }-{150}^{\circ })={30}^{\circ }$

$\therefore$ Number of sides of this polygon = $\frac{360°}{30°}=12$

Hence, Number of sides = 12