Question

if km and np are parallel lines and m∠mlo = 57.6°, what is m∠klo?

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. That is, if \(KM\parallel NP\) and \(QJ\) is the transversal, then \(\angle MLO+\angle KLO = 180^{\circ}\)

Step2: Solve for \(\angle KLO\)

Given \(\angle MLO = 57.6^{\circ}\), we substitute into the equation \(\angle KLO=180^{\circ}-\angle MLO\)

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Answer:

\(122.4^{\circ}\)