In Fig. 6.15, `angle PQR = angle PRQ`, then prove that `angle PQS = angle PRT`.

In Fig. 7.49, angle B

Similarly we can prove that angle 2 = angle 4

In Fig. 6.44, the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T, then prove that angle QTR =1/2 angle QPR .

In Fig 7.51, PR > PQ and PS bisects angle QPR . Prove that angle PSR > angle PSQ .

In figure, /_PQR = /_PRQ , then prove that /_PQS = /_PRT .

In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that angle POQ + angle QOR + angle SOR + angle POS = 360^@ .

If angle B and angle Q are acute angles such that sin B = sin Q, then prove that angleB = angle Q .

In fig. angleABC=angleACB and angle3=angle4 . Prove that angle1=angle2

In fig., angleA=angle1 Prove that triangleBDE~triangleBCA . .

In Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of angle POS and angle SOQ , respectively. If angle POS = x , find angle ROT .