ABCD is a parallelogram and AE and CF bisect `angleA and angleC` respectively. Prove that `AE"||"FC.`

In the adjacent figure , ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively . Show that AE||CF .

ABCD is a parallelogram E is the mid point of AB and CE bisects angleBCD . Prove that: AE=AD?

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

If ABCD is a parallelogram then angleA-angleC=

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

ABCD is a parallelogram and E is a point, on BC. If the diagonal BD intersects AE at F, prove that AFxxFBxxEFxxFD .

ABCD is a parallelogram in which angleA = 78^(@) . Compute angleB, angleC and angleD .

In a parallelogram ABCD, the bisector of angleA bisects the line Bcat point X. Prove that AD = 2AB.