In the given figure, ABCD is a rectangle whose diagonals intersect at O. Diagonal AC is produced to E and ∠ECD = 140°. Find the angles of △ OAB.

In the given figure, ABCD is a kite whose diagonals intersect at O. If ∠DAB = 54° and ∠BCD = 76°, calculate :

(i) ∠ODA

(ii) ∠OBC.

In the given figure, ABCD is a trapezium in which ∠A = (x + 25)°, ∠B = y°, ∠C = 95° and ∠D = (2x + 5)°. Find the values of x and y.

In the given figure, ABCD is rhombus and △EDC is a equilateral. If ∠BAD = 78°, calculate :

(i) ∠CBE

(ii) ∠DBE