In a parallelpgram ABCD, ∠ D=135°, determine the measures of ∠ A and ∠ B.

Question

In a parallelpgram ABCD, &#x2220; D=135&#xB0;, determine the measures of &#x2220; A and &#x2220; B.

Philoid · Accepted Answer

Given,

In a parallelogram ABCD

∠D= 135^∘

∠C + ∠D = 180^∘.. (supplementary angles)

∠C = 180^∘ - 135^∘ = 45^∘

∠C = ∠A and ∠D = ∠B.. (Opposite angles of parallelogram)

∠A = 45^∘

∠B = 135^∘

In a parallelpgram ABCD, ∠D=135°, determine the measures of ∠A and ∠B.