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MCQ

In the given figure, if l || m, what is the value of x?

#### Options

60°

50°

45°

30°

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#### Solution

Given figure is as follows:

Since (x + 15°)and (2y + 25°)are vertically opposite angles, therefore,

`(x + 15) = (2y + 25)`

` x -2y = 25° - 15°`

` x - 2y = 10°` (1)

Also, 3y and (2y + 25°)are alternate interior opposite angles, therefore,

`3y = (2y + 25°)`

`3y - 2y = 25°`

` y = 25°`

Substituting in equation (i), we get:

x - 2(25°) = 10°

x - 50° = 10°

x = 50° + 10°

x = 60°

Concept: Introduction to Lines and Angles

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