Bunuel wrote:

In the figure above, what is the value of a + b + c?

(A) 300

(B) 330

(C) 360

(D) 400

(E) 450

Attachment:

2017-08-15_1312_002.png

No calculation required.

The sum of the exterior angles of any convex polygon is 360°.

Angles a, b, and c are exterior angles.* Their sum is 360°.

Answer C

*In the diagram, b and c are successive exterior angles (starting at b, moving clockwise). If you continue to move clockwise, strictly speaking, you would come to the angle opposite from a -- which is a vertical angle that equals a. Likewise, you could start at a, go counterclockwise, and do the same for b and c (opposite vertical angles are congruent).

_________________

In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"