Question

1. solve for x. then find angle flj.

find the measure of ∠flj.

x:______
m∠flj=|°

Explanation:

Step1: Use the property of corresponding angles

Since \(GH\parallel IJ\) and \(EF\) is a transversal, \((8x - 12)^{\circ}=(5x + 18)^{\circ}\) (corresponding angles are equal).

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Step2: Find the measure of \(\angle FLJ\)

Substitute \(x = 10\) into \((5x + 18)^{\circ}\)

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Answer:

\(x = 10\), \(m\angle FLJ=68^{\circ}\)