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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?

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 class=

Respuesta :

semsee45

Answer:

m∠QPS = 112

Step-by-step 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°

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