Question

ABCD is a trapezium such that DC = 3AB. If L and M are the midpoints of AD

and BC respectively, Show that LM = 2AB.
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Answer 1

Answer:

we know that in trapezium all sides are not equal

Answer 2

Step-by-step explanation:

We have AB || DC.

∠ A and ∠ D are the interior angles on the same side of transversal line AD, whereas ∠ B and ∠ C are the interior angles on the same side of transversal line BC.

Now, ∠A + ∠D = 180∘

⇒ ∠D = 180∘ − ∠A

∴ ∠ D = 180∘ − 55∘ = 125∘

Again , ∠ B + ∠C = 180∘

⇒ ∠C = 180∘ − ∠B

∴ ∠ C = 180∘ − 70∘ = 110∘