Question

If pqrs is a quadrilateral where PQ is parallel to SR, PS parallel to QR and PQ equals to SR ,PS=QR find the value of x y z

Answer 1

Answer:

Step-by-step explanation:

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.