The side PR of a ΔPQR is extended to S such that QR = RS. If ∠PRQ = 86°, then find the value of ∠PSQ.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 43°.
⇒ ∠QRS = 180° - 86° = 94°
⇒ ∠RQS =∠RSQ {two equal sides in Δ QRS}
⇒ ∠x + ∠x + 94° = 180°
⇒ ∠x = 86°/2 = 43°