Question

AC and BD are diagonals of the parallelogram ABCD. A is equal to 37 degree and angle abc is equal to 120 degree find the measure of B​

Answer 1

Answer:

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.

OA=3cm and OD=2cm

We know that, diagonals of a parallelogram bisect each other.

∴ AO=OC and BO=OD

⇒ AC=2×OA=2×3cm=6cm

⇒ BD=2×OD=2×2cm=4cm

∴ The length of the diagonals AC and BD are 6cm and 4cm.

HOPE THIS HELPS YOU

Answer 2

Answer:

(i) AD = BC (opposite sides of a parallelogram are equal)

(ii) ∠DCB = ∠BAD (opposite angles are equal)

(iii) OC = OA (diagonals of a parallelogram bisect each other)

(iv) ∠DAB + ∠CDA = 180° (the sum of two adjacent angles of a parallelogram is 180°)