Question

What is the sum of either pair of opposite angles of a cyclic quadrilateral?

• A. ${90}^{\circ }$
• B. ${180}^{\circ }$
• C. ${360}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

The correct option is B

${180}^{\circ }$

The opposite angles of a cyclic quadrilateral are supplementary to each other. Hence the sum of opposite angles in a cyclic quadrilateral is ${180}^{\circ }$.

Here, $\angle 1+\angle 2={180}^{\circ }$