Question

given ( mparallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), then \((x - 17)^{\circ}+(3x + 1)^{\circ}=180^{\circ}\) (supplementary angles).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

$$
LATEXBLOCK1
$$

Answer:

\(x = 49\)