Question

ABCD is a trapezium AB parallel to CD if angle A is equal to 30 degree angle b is equal to 50 degree finf Angle c and angle d

Answer 1

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Answer 2

Question

ABCD is a trapezium AB parallel to CD if ∠A = 30°, ∠B = 50° then find ∠C and ∠D

Answer

Given

ABCD is a trapezium.

AB║CD

∠A = 30°

∠B = 50°

To Find

∠C and ∠D

Proof

In ABCD.

AB║CD

$\implies$ ∠A + ∠D = 180° [Co-interior Angles]

$\implies$ 30° + ∠D = 180°

$\implies$ ∠D = 180° - 30°

$\implies$  ∠D = 150°

Similarly,

$\implies$ ∠B + ∠C = 180° [Co-interior Angles]

$\implies$ 50 + ∠C = 180°

$\implies$ ∠C = 180° - 50°

$\implies$  ∠C = 130°

Hence,

∠D = 150°

∠C = 130°