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directions: if l || m, classify the marked angle pair 1. (5x - 2)° 58

Question

directions: if l || m, classify the marked angle pair 1. (5x - 2)° 58

Explanation:

Step1: Recall property of corresponding angles

When two parallel lines \(l\parallel m\) are cut by a transversal, corresponding angles are equal. So, \(58 = 5x - 2\).

Step2: Solve the equation for \(x\)

Add 2 to both sides of the equation: \(58+2=5x - 2+2\), which simplifies to \(60 = 5x\). Then divide both sides by 5: \(x=\frac{60}{5}=12\).

Answer:

\(x = 12\)