Question

Use the circle below to answer the question.

R
680
с
S
The circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?

Answer 1

m∠QPS = 112

Explanation:

Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ m∠QPS + m∠QRS = 180°

⇒ m∠QPS + 68° = 180°

⇒ m∠QPS = 180° - 68°

⇒ m∠QPS = 112°