Question

1. find the value of x that makes m || n. explain your reasoning.

x = ______

1. name all the

Explanation:

Step1: Identify angle relationship

When \(m \parallel n\), \((5x-3)^\circ\) and \(107^\circ\) are same-side interior angles, so they are supplementary (sum to \(180^\circ\)).

Step2: Set up the equation

\(5x - 3 + 107 = 180\)

Step3: Simplify the left side

\(5x + 104 = 180\)

Step4: Isolate the term with \(x\)

\(5x = 180 - 104\)
\(5x = 76\)

Step5: Solve for \(x\)

\(x = \frac{76}{5} = 15.2\)

Answer:

\(x = 15.2\)