Question -
Answer -
Rhombus ABCD is given:
We have
We need to prove that
We know that the diagonals of a rhombus bisect each other at right angle.
Therefore,
In
A and O are the mid-points of BE and BD respectively.By using mid-point theorem, we get:
Therefore,
In
A and O are the mid-points of BE and BD respectively.By using mid-point theorem, we get:
Therefore,
Thus, in quadrilateral DOCG,we have:
and 
Therefore, DOCG is a parallelogram.
Thus, opposite angles of a parallelogram should be equal.
Also, it is given that
Therefore,
Or,