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

Question

Philoid · Accepted Answer

Let, ∠A = 2x and

∠B = 3x

Now,

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

2x + 3x = 180^o

5x = 180^o

x = 36^o

∠A = 2x = 72^o

∠B = 3x = 108^o

Now,

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

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