Answer:
m∠O and m∠Q are supplementary
m∠P and m∠R are supplementary
Step-by-step explanation:
<u>Cyclic quadrilateral</u>: a quadrilateral drawn inside a circle where every vertex of the quadrilateral touches the circumference of the circle.
<u>Theorem</u>: Opposite angles in a cyclic quadrilateral add up to 180°
<u>Supplementary angles</u> are two angles whose measures sum to 180°
Therefore, the opposite angles in a cyclic quadrilateral are supplementary:
m∠O + m∠Q = 180°
m∠P + m∠R = 180°