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`.

In the given fig. , ray OS is on POQ. Rays OR and OT are the bisectors of anglePOS and angleSOQ respectively. If anglePOS = x find angleROT .

In fig, AD and CE are the angle bisectors of angleA and angleC respectively. If angleABC=90^@ then find the angleAOC

In Fig. 6.40, angle X = 62^@, angle XYZ = 54^@ . If YO and ZO are the bisectors of angle XYZ and angle XZY respectively of triangle XYZ , find angle OZY and angle YOZ .

Find angle x in Fig.

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

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

In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that angle ROS=1/2 (angle QOS-angle POS) .

In the fig. l||m, angle1 and angle2 are in the ratio 5:4. find angle3 and angle4

In Fig. 6.42, if lines PQ and RS intersect at point T, such that angle PRT = 40^@, angle RPT = 95^@ and angle TSQ = 75^@ , find angle SQT .