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Question

In the adjoining figure l is parallel to line m. What is the value of (x + 2y)?

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

315°

The correct answer is Option 2 i.e. 315°.

From the given figure,

⇒ x + 105° = 180°

⇒ x = 180° - 105° = 75°

⇒ y + 60° = 180°

⇒ y = 180° - 60° = 120°

Then, the value of (x + 2y)

⇒ 75° + 2 × 120° = 75° + 240° = 315°

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Similar Questions

  1. If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is:

  2. An angle greater than 180 degrees is referred to as ______

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  4. If two lines are parallel and a transversal makes an angle of \(65^\circ\) with one line, what is the measure of the corresponding angle on the other line?
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Important Questions from Lines and Angles

  1. There are three points P, Q and R on a straight line such that PQ : QR = 3 : 5. If n is the number of possible values of PQ : PR, then what is n equal to ?

  2. Two cars start from a point at the same time and travel on two different roads at right angles to each other. Their speed is 18 km/h and 72 km/h respectively. What will be the distance between them after 6 seconds?

  3. Express 65° in radian :

  4. The measure of an angle for which the measure of the supplement is four times the measure of the complement is:

  5. AB||CD and EF is the transversal meeting AB and CD at P and Q, respectively. If ∠APE = 6x and ∠PQD = 4x, then ∠APQ =______.

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