Prove or disprove that two angles are equal in a quadrilateral

A quadrilateral ABCD with mAB=mCD, where m means measure or length. mAD < mBC. E is the middle point of AD. F is the middle point of BC. G is the middle point of BD, H is the middle point of AC. Prove of disprove that angle of GEF must egual angle FEH. The points are below.

--------------A----- E ------D

-------------G

B--------------------- H

------------------F

--------------------------------------C

Re: Prove or disprove that two angles are equal in a quadrilateral

It is equal ..you must prove that the quadrilateral GEHF is a rhombus....use the midle points it is easy.

Re: Prove or disprove that two angles are equal in a quadrilateral