Question

In a trapezium ABCD, AB||CD. If angle A =63°, angle C = 124°, find angle B & D..
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Answer 1

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Answer 2

◇GIVEN:

• IN A TRAPEZIUM ABCD , AB||CD ∠A = 63° and ∠C = 124°

◇TO FIND :

• ∠B and ∠D

◇SOLUTION:

I HAVE EXTENDED LINES AB , BC ,CD AND AD

SUCH THAT AD AND BC ARE TRANSVERSALS AND AB AND CD ARE PARLLEL LINES

∠A + ∠D = 180° [ CO- INTERIOR ANGLES ]

63° + ∠D = 180° => ∠D = 180° - 63°

=> ∠D = 117°

IN THE SAME WAY ∠B + ∠C = 180° [∵ CO - INTERIOR ANGLES]

=> ∠B + 124° = 180°

=> ∠B = 180° - 124°

=> ∠B = 56°

∴ ∠B = 56° , ∠D = 117°

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