Question

find the value of x that makes m || n.
4)
5)

Explanation:

Step1: Identify supplementary angles

When \(m \parallel n\), the given angles are same-side interior angles, so they are supplementary (sum to \(180^\circ\)).
\(135 + (2x + 15) = 180\)

Step2: Simplify the equation

Combine constant terms on the left.
\(2x + 150 = 180\)

Step3: Isolate the variable term

Subtract 150 from both sides.
\(2x = 180 - 150\)
\(2x = 30\)

Step4: Solve for x

Divide both sides by 2.
\(x = \frac{30}{2}\)

Answer:

\(x = 15\)