Question

Find the angles of the parallelogram ABCD if angle C=2/3of angle D.​

Answer 1

Answer:

• Given: angle C= 2/3 angle D.

• To find: All the angles of the parallelogram.

• Solution: 1) In the parallelogram, the opposite angles are equal to each other. so in parallelogram. ∠A = ∠C = x. ∠B = ∠D = y. 2) By the angle sum property of the parallelogram, x+x+y+y = 360° According to the question. x = 2y/3. 2y/3+2y/3+y+y = 360°

Answer 2

Answer:

Step-by-step explanation:

angle A = angle C

angle B = angle D

angle D + angle C = 180

C = 2/3D

2/3D + D = 180

2D + 3D / 3 = 180

5D = 180*3

5D = 540

D = 108

C = 2/3 108 = 72

Opposite angles of parellelogram are equal

so that A = 72

            B = 108