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in Lines and Angles by (38.0k points)
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In Fig., if AB || CD, then the value of x is

A. 20°

B. 30°

C. 45°

D. 60°

1 Answer

+1 vote
by (36.4k points)
selected by
 
Best answer

Given that,

AB ‖ CD and transversal cuts them

Let,

∠1 = 120° + x and

∠2 = x

∠1 = ∠3 (Alternate angles)

∠3 = 120° + x (i)

∠2 + ∠3 = 180°(Linear pair)

x + 120° + x = 180°

2x = 60°

x = 30°

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