Question

ABCD is Trapezium with ABllCD. If angle A =30 B=50 find c and d​

Answer 1

Answer:

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

∠A + ∠D = 180° [Co-interior Angles]

30° + ∠D = 180°

∠D = 180° - 30°

∠D = 150°

Similarly,

∠B + ∠C = 180° [Co-interior Angles]

50 + ∠C = 180°

∠C = 180° - 50°

∠C = 130°

Hence,

∠D = 150°

∠D = 150°∠C = 130°