Question

Given m||n, find the value of x. 135

Answer 1

Answer: Option C.

Step-by-step explanation:

Let as consider the complete question is same as question shown in the below figure.

In the figure m║n.

If a transversal line intersect two parallel lines then same sided interior angles are supplementary angles and their sum is 180 degrees.

$3x+x=180^{\circ}$

$4x=180^{\circ}$

Divide both sides by 4.

$x=\dfrac{180^{\circ}}{4}$

$x=45^{\circ}$

The value of x is 45 degrees.

Therefore, the correct option is C.