Question

the diagram shows a triangle. what is the value of v? write your answer as an integer or as a decimal rounded to the nearest tenth. v =

Explanation:

Step1: Sum triangle angles to 180°

$74 + 48 + (3v + 12) = 180$

Step2: Simplify left-hand side

$74 + 48 + 12 + 3v = 180$
$134 + 3v = 180$

Step3: Isolate the term with v

$3v = 180 - 134$
$3v = 46$

Step4: Solve for v

$v = \frac{46}{3}$

Answer:

$v \approx 15.3$