Question

Quadrilateral OPQR is inscribed inside a circle as shown below Which pair, or pairs , of angles are supplementary, if any? ( 10 points

Answer 1

Solution:

Concept:

The opposite angles of a cyclic quadilateral are supplementary.

Hence,

With this concept above, we can conclude that

$\begin{gathered} \angle R+\angle P=180^0 \\ \angle O+\angle Q=180^0 \end{gathered}$

HENCE,

The final answer is