We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, ∠ABC=110∘, ∠DAC=15∘, ∠CAB=25∘, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?
No, it is impossible.
Draw rough diagram of the parallelogram ABCD.
Here, ∠DAC = ∠ACB= 15∘ … (1) ∵(Alternate interior angles)
In △ ABC,
∠A+ ∠B + ∠C must be 180∘
∠A+ ∠B + ∠C = 25∘+ 110∘+ 15∘ …from (1)
∠A+ ∠B + ∠C = 150∘
So, this construction is not possible.