Thread: Quadrilateral identity

In a convex quadrilateral , Bisectors of ABC and BAD meet at . Show that .
Sadly, no ideas on this one.

Originally Posted by atreyyu

In a convex quadrilateral , Bisectors of ABC and BAD meet at . Show that .
Sadly, no ideas on this one.

1. I assume that you mean the angle bisector ... ? (Drawn in blue) If so:

2. Draw a sketch (see attachment)

3. For symmetry reasons the 2 orange segments must be as long as the red segment.