Question

the diagram shows a triangle.
(an image of a triangle with angles 61°, 3v, and 4v)
what is the value of v?
v = \boxed{\circ}
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Explanation:

Step1: Sum triangle angles to 180°

$61 + 3v + 4v = 180$

Step2: Combine like terms

$61 + 7v = 180$

Step3: Isolate the variable term

$7v = 180 - 61$
$7v = 119$

Step4: Solve for v

$v = \frac{119}{7}$

Answer:

$17$