Question

solve for the value of $v$.
answer attempt 1 out of 2
$v =$

Explanation:

Step1: Use the property of angles in a straight line

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

Step2: Simplify the equation

Simplify the left - hand side of the equation:
\( 2v+8 + 90+3v - 8=(2v+3v)+(8 - 8)+90=5v + 90 \).
So the equation becomes \( 5v+90 = 180 \).

Step3: Solve for \( v \)

Subtract \( 90 \) from both sides of the equation: \( 5v+90-90=180 - 90 \), which gives \( 5v=90 \).
Divide both sides by \( 5 \): \( v=\frac{90}{5}=18 \).

Answer:

\( v = 18 \)