Question

Abcd is a parallelogram. Angle b is 125 degrees. Find angleA angleD and angleC

Answer 1

Answer:

d and c angles would be 125

Answer 2

Given:

ABCD is a parallelogram.

∠B = 125°

To Find:

∠A, ∠C, ∠D

Solution:

ABCD is a parallelogram,

∴ ∠B + ∠C = 180° [Co-interior angles]

125° + ∠C = 180°

∠C = 180° - 125°

∠C = 55°

∠C + ∠D = 180° [Co-interior angles.]

55° + ∠D = 180°

∠D = 180° - 55°

∴ ∠D = 125°

OR,

∠D = ∠B [Opposite sides of a parallelogram are equal]

∴ ∠D = 125°

Now,

∠A + ∠D = 180° [Co-interior Angles.]

∠A + 125° = 180°

∠A = 180° - 125°

∠A = 55°

OR,

∠A = ∠C

∴ ∠A = 55°

Answers,

∠A $\longrightarrow$ 55°

∠C $\longrightarrow$ 55°

∠D $\longrightarrow$ 125°