Question

In the figure, Find the value of x, If ∠1 = 60°
(keep the answer short)



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Answer 1

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°°° Solution °°°

• x+50 ∘ =180 ∘ (Linear pair)
• ⇒x=130 ∘

• Also, y=130 ∘ (Vertically opposite)

• Now, x=y=130 ∘ (Alternate interior angles)

• Alternate interior angles are equal.

• ∴AB∥CD...

Answer 2

Solution :-

Assume line l is parallel to line m . { Must be given . }

So,

→ ∠1 = ∠2 { Corresponding angles. }

→ ∠2 = 60°

now,

→ ∠2 + ∠x = 180° { Linear pair. }

→ 60° + ∠x = 180°

→ ∠x = 180° - 60°

→ ∠x = 120° (Ans.)

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