Question

what is the value of v? v =

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((2v - 50)+(2v - 45)+(v - 30)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2v+2v + v-50 - 45-30 = 180\).
\(5v-(50 + 45+30)=180\).
\(5v - 125=180\).

Step3: Solve for \(v\)

Add \(125\) to both sides of the equation: \(5v=180 + 125\).
\(5v=305\).
Divide both sides by \(5\): \(v=\frac{305}{5}\).

Answer:

\(v = 61\)