The given figures shows a kite-shaped figure whose diagonals intersect each other at point O. If ∠ABO = 25° and ∠OCD = 40°; find

(i) ∠ABC

(ii) ∠ADC

(iii) ∠BAD

Prove that the bisectors of any two adjacent angles of a parallelogram are at right angle.

If the diagonals of a rectangle intersect each other at right angle, the rectangle is a square.

M and N are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CN is parallel to AM .