Question

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

Options

• 60°

• 50°

• 45°

• 30°

Answer 1

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°