In the given figure lines `bar(XY)` and `bar(MN)` intersect at O. If `∠POY = 90^(@)` and a: b = 3: 4, find c.

In the given figure, lines XY and MN intersect at O. If anglePOY=90^(@) and a:b=2:3 , find c.

In Fig , lines XY and MN intersect at O. If anglePOY=90^(@) and a : b = 2 : 3 , find c.

In the given figure lines AB and CD intersect at O. If angleAOC+angleBOE=70^(@) and angleBOD=40^(@) , find angleBOE and reflex angleCOE .

In the given figure three lines bar(AB) , bar(CD) and bar(EF) intersecting at O. Find the values of x, y and z it is being given that x : y : z = 2 : 3 : 5

In the adjacent figure lines PQ and RS intersect each other at point O. If anglePOR : angleROQ = 5: 7, find all the angles.

In the given figure if line segments PQ and RS intersect at point T, such that anglePRT = 40^(@), angleRPT = 95^(@) and angleTSQ = 75^(@) , find angleSQT

In Fig , lines AB and CD intersect at O. If angleAOC+angleBOE=70^(@) and angleBOD=40^(@) , find angleBOE and " reflex " angleCOE.

In the given figure angleA= 40^(@) . If bar(BO) and bar(CO) are the bisectors of angleB and angleC respectively. Find the measure of angleBOC .

PQ and PR are tangents to the given circle as shown in the figure. If angleRPQ=90^(@) and PQ = 8 cm, find the radius of the circle.

In the given figure bar(PQ) is a line. Ray bar(OR) is perpendicular to line bar(PQ) . bar(OS) is another ray lying between rays bar(OP) and bar(OR) . Prove that angleROS = (1)/(2) angleQOS − anglePOS