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°

$68 + 79 + (9v+26) = 180$

Step2: Simplify left-hand side

$68+79+26+9v = 180$
$173 + 9v = 180$

Step3: Isolate the term with v

$9v = 180 - 173$
$9v = 7$

Step4: Solve for v

$v = \frac{7}{9}$

Answer:

$v \approx 0.8$