Question

if l || m, classify the marked angle pair’s relationship, then solve for x. si l || m, clasifique la relación del par de ángulos marcados y luego resuelva para x.

Explanation:

Step1: Identify angle - pair relationship

Since \(l\parallel m\), the marked angles are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.

Step2: Set up an equation

Set \(8x - 9=53\).

Step3: Solve the equation for \(x\)

Add 9 to both sides of the equation: \(8x-9 + 9=53 + 9\), which simplifies to \(8x=62\). Then divide both sides by 8: \(x=\frac{62}{8}=\frac{31}{4}=7.75\).

Answer:

\(x = 7.75\)
Relationship: Corresponding angles