Question

solve for the value of v.
(3v-8)°
(2v+8)°
answer attempt 1 out of 3
v =
submit answer

Explanation:

Step1: Identify angle relationship

The angles \((3v - 8)^\circ\), \(90^\circ\) (right angle), and \((2v + 8)^\circ\) form a straight line, so their sum is \(180^\circ\). Thus, \((3v - 8)+90+(2v + 8)=180\).

Step2: Simplify the equation

Combine like terms: \(3v - 8 + 90 + 2v + 8 = 180\) simplifies to \(5v+90 = 180\).

Step3: Solve for \(v\)

Subtract 90 from both sides: \(5v=180 - 90=90\). Then divide by 5: \(v=\frac{90}{5}=18\).

Answer:

\(18\)