Question

Name the regular polygon whose each exterior angle measures ${72}^{\circ }$.

• A. Heptagon
• B. Pentagon
• C. Septagon
• D. Octagon

Answer 1

The correct option is B Pentagon

Given: Each exterior angle = ${72}^{\circ }$
We know that, sum of all the exterior angles = ${360}^o$

$\therefore$ Number of sides $\times$ each exterior angle = ${360}^{\circ }$
Number of sides $\times {72}^{\circ }={360}^{\circ }$
Number of sides $=\frac{{360}^{\circ }}{{72}^{\circ }}$ = 5 sides
Number of sides = 5.
So, the polygon is a pentagon.