In a parallelogram ABCD, if ∠ B=135°, determine the measures of its other angles.

Question

In a parallelogram ABCD, if &#x2220; B=135&#xB0;, determine the measures of its other angles.

Philoid · Accepted Answer

Given,

∠B = 135^∘

∠A + ∠B = 180^∘ (supplementary angles of parallelogram)

∠A = 180^∘ – 135^∘ = 45^∘

∠C = ∠A = 45^∘ (opposite angles of parallelogram)

∠D = ∠B = 135^∘

In a parallelogram ABCD, if ∠B=135°, determine the measures of its other angles.