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

Question

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

Explanation:

Step1: Set up the equation

The sum of the three angles is \(180^{\circ}\), and one of them is \(90^{\circ}\). So, \((3v - 8)+(2v + 8)+90=180\).

Step2: Simplify the equation

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

Step3: Solve for \(v\)

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

Answer:

\(v = 18\)