Question

Find the number of sides of a regular polygon whose interior angle is ${150}^{\circ }$.

• A. Decagon
• B. Hendecagon
• C. Dodecagon
• D. Triskaidecagon

Answer 1

The correct option is C

Dodecagon

Interior angle of polygon = $\frac{n-2}{n}\times {180}^{\circ }$

Where n is the number of sides in a polygon

150${}^{\circ }$ = $\frac{n-2}{n}\times {180}^{\circ }$

5n = 6n – 12

n = 12

So, it is a 12 sided polygon and it is called as dodecagon.