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Bunuel

If y = 2x, and x = z/3, what is v = ?

(A) 30°
(B) 45°
(C) 60°
(D) 75°
(E) 90°


Attachment:
2017-08-01_1348.png

We see that:

x + y + z + x + v + z = 360

and

y = v

We are also given that:

y = 2x

and

x = z/3 or z = 3x

Thus, we can get all of our variables in terms of x:

y = 2x, z = 3x, v = 2x; thus:

x + 2x + 3x + x + 2x + 3x = 360

12x = 360

x = 30

Since x = 30, v = 60.

Answer: C
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