Question

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:

\(14\)