Question

find the value of x so that the lines are parallel. 7. 8.

Explanation:

Step1: Use the property of alternate interior angles

When two lines are parallel, alternate interior angles are equal. So, we set up the equation \(3x + 15=75\).

Step2: Solve the equation for \(x\)

Subtract \(15\) from both sides of the equation:
\(3x+15 - 15=75 - 15\)
\(3x = 60\)
Divide both sides by \(3\):
\(x=\frac{60}{3}\)

Answer:

\(x = 20\)