Respuesta :

Answer:

x = 7.

Step-by-step explanation:

The 2 angles are corresponding so are equal.

11x - 2 = 75

11x = 77

x = 7 (answer).

The measure of the x is 7.

Given

The measure of the first angle is 75 degrees and the measure of the second angle is 11x-2.

Corresponding angles;

By corresponding angles theorem, angles on the transversal line are corresponding angles that are equal.

When the two lines are parallel Corresponding Angles are equal.

The given angles are equal to each other.

Therefore,

The measure of the value of x is;

[tex]\rm 11x-2=75\\\\11x=75+2\\\\11x=77\\\\x=\dfrac{77}{11}\\\\x=7[/tex]

And the measure of the other angle is;

[tex]\rm =11x-2\\\\=11(7)-2\\\\=77-2\\\\=75[/tex]

Hence, the measure of the x is 7.

To know more about corresponding angles click the link given below.

https://brainly.com/question/26104021