Question

Name the polygon whose sum of interior angles is equal to the sum of its exterior angles.

• A. Isosceles Triangle
• B. Equilateral Triangle
• C. Quadrilateral
• D. Pentagon

Answer 1

The correct option is C Quadrilateral

The sum of all the exterior angles of any polygon is ${360}^{\circ }$.

As given in the question, the sum of interior angles is equal to the sum of exterior angles. Therefore, the sum of interior angles of the polygon will also be ${360}^{\circ }$.

${360}^{\circ }=(n-2)\times {180}^{\circ }$

$\frac{{360}^{\circ }}{{180}^{\circ }}=n-2$

$2=n-2$

$n=4$

A four sided polygon is called a quadrilateral.