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# Choose the Correct Alternative. in the Adjoining Figure, If Line a Line B and Line L is a Transversal Then Find X. (A) 90° (B) 60° (C) 45° (D) 30° - Mathematics

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MCQ
Sum

Choose the correct alternative.

In the adjoining figure, if line a || line b and line l is a transversal then find x.

#### Options

• 90°

• 60°

• 45°

• 30°

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#### Solution

Let us mark the points P and Q on a; R and S on b; A and B on l.
Suppose PQ and AB intersect at M; RS and AB intersect at N.
Since a||b and l is a transversal, then
m∠RNM = m∠SNB    (Vertically opposite angles)
⇒ ∠RNM  = 2x
Now, m∠RNM + m∠PMN  = 180°    (Interior angles on the same side of transversal are supplementary)
⇒ 2x + 4x = 180°
⇒ 6x = 180°

⇒ x = (180°)/6
⇒ x = 30°

So, the correct answer is option (D).

Concept: Pairs of Lines - Transversal
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#### APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 2 Parallel lines and transversals
Practice Set 2.2 | Q 1.2 | Page 8
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