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For what value of x will the lines $l$ and m be parallel to each other in the figure?

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20 °

25 °

30 °

35 °

answer is A.

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Detailed Solution

Given, angles on the lines l and m intersecting by a transversal t are: (

4 x − 30) ° a n d (2 x + 10) °

We know that corresponding angles are equal, So,

⇒ 4 x − 30 ° = 2 x + 10 °

⇒ 4 x − 2 x = 10 ° + 30 °

⇒ 2 x = 40 °

⇒ x = 20 °

When value of

x

20 °

,the lines l and m will be parallel to each other.
Therefore, option (1) is correct.

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