In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?
Answer & explanation
Correct answer: option 2
We know that,
In cyclic quadrilateral PQRS,
∠SPQ + ∠SRQ = 180°
= 110° + ∠SRQ = 180°
= ∠SRQ = 180° – 110°
= ∠SRQ = 70°
Now, ∠SRQ + ∠PQR = 180°
= 70° + ∠PQR = 180°
= ∠PQR = 180° – 70°
= ∠PQR = 110°