In the figure, ∠QRU = 72ᵒ, ∠TRS = 15ᵒ and ∠PSR = 95ᵒ, then what is the value (in degrees) of ∠PQR? [Image]

In the figure, ∠QRU = 72ᵒ, ∠TRS = 15ᵒ and ∠PSR = 95ᵒ, then…

In the figure, ∠QRU = 72^o, ∠TRS = 15^o and ∠PSR = 95^o, then what is the value (in degrees) of ∠PQR?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 85º

In cyclic quadrilateral, opposite angles are 180^º

∠PSR + ∠PQR = 180^º

⇒ 95^º+ ∠PQR = 180^º

⇒ ∠PQR = 85^º