what is the value of v? v =

Explanation:

Step1: Sum of interior angles of a triangle

The sum of the interior angles of a triangle is (180^{\circ}). So, ((v + 40)+4v+5v=180).

Step2: Simplify the equation

Combine like - terms: (v+40 + 4v+5v=180) becomes (10v+40 = 180).

Step3: Solve for (v)

Subtract (40) from both sides: (10v=180 - 40), so (10v=140). Then divide both sides by (10): (v=\frac{140}{10}).

Answer:

(14)