Question

The figure, □ABCD is a parallelogram and its diagonals AC and BD intersect at E.
If l(AB) = 3 cm, l (BC) = 5 cm, m∠BAD = 120° and m∠ADC = 60°, then


(1) l (DC) = ?
(2) l (AD) = ?
(3) m∠BCD = ?
(4) m∠ABC = ?

Answer 1

(1) Opposite sides of a parallelogram are congruent.
∴ l (DC) = l (AB) = 3 cm

(2) Opposite sides of a parallelogram are congruent.
∴ l (AD) = l (BC) = 5 cm

(3) Opposite angles of a parallelogram are congruent.
∴ m∠BCD = m∠BAD = 120°

(4) Opposite angles of a parallelogram are congruent.
∴ m∠ABC = m∠ADC = 60°