Respuesta :

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.

[tex]3x+x=180^{\circ}[/tex]

[tex]4x=180^{\circ}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{180^{\circ}}{4}[/tex]

[tex]x=45^{\circ}[/tex]

The value of x is 45 degrees.

Therefore, the correct option is C.

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