In the given figure, AM bisects angle A and DM bisects angle D of parallelogram ABCD. Prove that `angleAMD = 90^(@).`

Bisect angle XYZ

In the given figure , AC gt AB and AD bisects angle BAC Prove that angle ADC gt ADB

In the given figure , AC bisects angleA and angle C . If AD = 5 cm find AB

In figure, OP bisects angle BOC and OQ bisects angle AOC , then angle POQ is

In the given figure, if OP bisects angleBOC and OQ bisects angleAOC , then anglePOQ is equal to

In the given figure, PS is the median, bisecting angle P, then angleQPS is

In the given figure,AB||EC,AB=AC and AE bisects /_DAC. Prove that:

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

In the given figure, ABCD is a cyclic quadrilateral and diagonals D bisect each other at P. If angleDBC = 60^(@) and angleBAC = 30^(@) , then angleBCD is:

In the figure, diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB = AD and CB = CD.