Question

The sum of the angles in a is equal to.

• A. quadrilateral
• B. pentagon
• C. 180
• D. 360

Answer 1

Answer: (A), (D)

The correct options are
A quadrilateral
D 360

A quadrilateral is nothing but joining two triangles. Since the sum of angles in a triangle is ${180}^{\circ }$, for two triangles it will be 2 x ${180}^{\circ }$ = ${360}^{\circ }$.

In a n sided polygon, there will be n - 2 triangles. So the sum of the angles in polygon is (n-2) x ${180}^{\circ }$.