In the adjacent figure `BE bot` DA and CD`bot`DA then prove that m`angle1 ~= m angle3`.

O is the circumcentre of Delta ABC and OD bot BC . Prove that angle BOD= angle BAC

S is the centre of the circumcircle of Delta ABC and if AD bot BC , prove that angle BAD= angle SAC .

In Delta ABC, angle B le angle C. If the interior bisector of angle BAC be AP and AQbotBC. then prove that angle PAQ=(1)/(2)(angle B-angleC)

In the adjacent figure, AB = BC and AC = CD . Prove that : /_ BAD : /_ ADB = 3 : 1.

In the adjacent figure AB || CD, EF bot CD and angleGED = 126^(@) , find angleAGE, angleGEF and angleFGE .

In the adjacent figure O is the centre of the circle. If angle OAB=30^(@), angle ABC=120^(@), angle BCO=y^(@) and angle COA=x^(@) , then the find value sof x and y.

Two chords AB and CD of a circle with centre O intersect each other at the point P. prove that AOD+ angle BOC = 2 angle PBC . If angle BOC are supplementary to each other, then prove that the two chords are perpendicular to each other.

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

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 adjacent figures, If angle1 = angle3, angle2 = angle4 and angle3 = angle4 write the relations between angle1 and angle2 using an Euclid's postulate.