Bunuel wrote:

What is the value of x in the figure above?

(A) 80

(B) 75

(C) 70

(D) 65

(E) 60

Attachment:

2017-09-01_1134.png

All but two of the values for angle measures in the figure are irrelevant.

Vertical angles created by the intersection of two lines are congruent.

The two missing angles for the triangle containing angle with measure \(x\) are vertical angles with measures 50, and 55.

Sum of angles in a triangle is 180

50 + 55 + x = 180

x = 75

Answer B

_________________

In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"