In the figure AE is the bisector of `angleA,AD bot BC` . Show that `2(angleADE-angleEAC)=angleB+angleC`

In the given figure, ACgtAB and AD is the bisector of angleA. show that angleADC gt angleADB .

In the given figure, AD is altitude and AE is bisector of angle BAC of DeltaABC . Show that DeltaDAE=(1)/(2)(angleB-angleC)

In DeltaABC , if AD is the bisector of angleA, show that ABgtBD and ACgtDC .

In the figure, if angleBAC = 90^(@) and AD bot BC , then:

In the given figure, if angleADE=angleB show that triangleADE~triangleABC .

In the given figure ABCD is a trapezium with AB || Dc and AD = BC prove that angleA=angleB

In a quadrilateral ABCD, AO and BO are the bisectors of angleA and angleB respectively. Prove that angleAOB=1/2(angleC+angleD).

In the figure angleB lt angleA and angleC lt angleD . Show that AD lt BC .

AB and CD are respectively the smallest and largest sides of a quadrilateral ABCD. Show that angleA gt angleC and angleB gt angleC .

In the adjacent figure, the bisectors of angleA and angleB meet in a point P. If angleC=100^(@) and angleD=60^(@) , find the measure of angle APB .