Two unequal angles of a parallelogram are in the ratio 2 : 3. Find all

1.	Two unequal angles of a parallelogram are in the ratio 2 : 3. Find all its angles in degrees.
Answer» Let, ∠A = 2x and ∠B = 3x Now, ∠AHB = 180°(Co. interior angles are supplementary) 2x + 3x = 180° 5x = 180° x = 36° ∠A = 2x = 72° ∠B = 3x = 108° Now, ∠A = ∠C = 72°(Opposite sides angles of a parallelogram are equal) ∠B = ∠D = 108°(Opposite sides angles of a parallelogram are equal)

Two unequal angles of a parallelogram are in the ratio 2 : 3. Find all its angles in degrees.

Answer»

Let, ∠A = 2x and

∠B = 3x

Now,

∠AHB = 180°(Co. interior angles are supplementary)

2x + 3x = 180°

5x = 180°

x = 36°

∠A = 2x = 72°

∠B = 3x = 108°

Now,

∠A = ∠C = 72°(Opposite sides angles of a parallelogram are equal)

∠B = ∠D = 108°(Opposite sides angles of a parallelogram are equal)