Question

the diagram shows a triangle.

(an image of a triangle with angles 3v, 87°, and 51°)

what is the value of v?

v = \boxed{\space}°

Explanation:

Step1: Sum triangle angles to 180°

$3v + 51 + 87 = 180$

Step2: Simplify the left side

$3v + 138 = 180$

Step3: Isolate 3v term

$3v = 180 - 138$
$3v = 42$

Step4: Solve for v

$v = \frac{42}{3}$

Answer:

$14$