1.

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

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∘



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