Question

solve for the value of v.

Explanation:

Step1: Use the property of straight - angle

The sum of angles on a straight line is \(180^{\circ}\). So, \((3v - 8)+90+(2v + 8)=180\).

Step2: Simplify the equation

First, combine like terms:
\(3v-8 + 90+2v + 8=180\)
\((3v+2v)+(-8 + 8)+90=180\)
\(5v+90=180\).

Step3: Solve for \(v\)

Subtract \(90\) from both sides of the equation:
\(5v+90-90=180 - 90\)
\(5v=90\).
Divide both sides by \(5\):
\(v=\frac{90}{5}\).

Answer:

\(v = 18\)