Question

If the angle of a parallelogram is two third its adjacent angle. Find the angles of the parallelogram.​

Answer 1

Answer:

In a parallelogram ABCD,

Let ∠A be x and ∠B be 2x / 3

∴ ∠A + ∠B = 180°

⇒ x + 2x / 3 = 180°

⇒ 5x / 3 = 180°

⇒ x° = 180° × 3 / 5 = 108°

∠A = 108° , ∠B = 2 / 3 × 108° = 72°