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In the Given Figure, If L || M, What is the Value of X? - Mathematics

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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
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 18 | Page 55
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