Question

If PQ parallel SR and PQ =SR .What is the measure of angle PSR?​

Answer 1

Answer:

measure of angle PSR is 180 degree

Answer 2

PQRS is a quadrilateral with PQ parallel to SR and PS is parallel to QR. To prove that <SPQ = <SRQ.

Proof: PQ and SR are parallel lines and PS is a transversal, hence <SPQ + <PSR = 180 degrees.

Also PS and QR are parallel lines and SR is a transversal, hence <PSR + <SRQ = 180 degrees.

Therefore <SPQ + <PSR = 180 = <PSR + <SRQ or <SPQ = <SRQ. Proved.