In figure (3) given below, ABCD is a kite and diagonals intersect at O. If ∠DAB = 112° and ∠DCB = 64°, find ∠ODC and ∠OBA.

Prove that each angle of a rectangle is 90°.

If the diagonals of a rhombus are equal, prove that it is a square.

Prove that every diagonal of a rhombus bisects the angles at the vertices.