`anglePQR =angle PRS`, then prove that `anglePQS=anglePRT`

In the given figure , if anglePQR=anglePRQ then prove that anglePQS=anglePRT .

In the given figure, (QR)/(QS)= (QT)/(PR) and angle1 = angle2 then prove that trianglePQS ~ triangleTQR.

/_PQR=/_PRS, then prove that /_PQS=/_PRT

In the given figure, we have PQ = SR and Pr = SQ. Prove that: anglePQR=angleSRQ

In the given figure sides of anglePQR and angleXYZ are parallel to each other. Prove that, anglePQR~=angleXYZ .

In the given figure, PR gt PQ and PS bisects angle QPR. Prove that angle PSR gt angle PSQ .

In the figure , angle QPR and angle PST are exterior angles of triangle PRS . If angle PRS=50 ^@ and angle QPR= 80^@ , then find measure of angle PST.

In trianglePQR , sides PQ and PR are extended to S and T respectively . OQ and OR are bisector of angleRQS and angleQRT meeting at O. Show that 2angleQOR=anglePQR+angleQRP