Two lines intersect as shown. What is the value of x? (May 2021 U.S.)

Correct answer: B) 20.
The fact that two lines intersect means that the vertical angles are congruent. The text labeling the angles in the image says that one angle is 5x + 5 degrees and the other is 7x − 35 degrees. Since these angles are congruent, set them equal to each other and solve for x.
Thus, we have the equation: 5x + 5 = 7x − 35
Solve for x: $ -2x = -40$
Divide both sides by −2 to find x: x = 20
Therefore, the value of x is 20.