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

In the adjoining figure, ABCD is a parallelogram , AO and BO are the bisectors of angleA and angleB respectively. Prove that angleAOB=90^@ .

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.L and M are points on AB and DC respectively and AL=CM. prove that LM and BD bisect each other.

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. Angle bisector of angleA and angle bisector of angleC cuts extended side DC and AB at Q and P respectively. If angleA=50^(@)," find "angleP+angleQ .

In a parallelogram ABCD, the bisectors of angleA and angleB intersect each other at point P. Prove that angleAPB=90^(@).

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

Let ABCD be a aprallelogram.Two points E and f are chosen on the sides BC and CD respectively such that (EB)/(EC)=m and (FC)/(FD)=n. Lines AE and BF intersect at G. Prove that the ratio (AG)/(GE)=((m+1)(n+1))/(mn)

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