Q5 of 95 Page 14

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

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∘


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