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given (lparallel mparallel n), find the value of (x). 124° ((5x - 4)°)

Question

given (lparallel mparallel n), find the value of (x). 124° ((5x - 4)°)

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle of \(124^{\circ}\) and \((5x - 4)^{\circ}\) are corresponding angles, so they are equal. We get the equation \(5x-4 = 124\).

Step2: Solve the equation for \(x\)

Add 4 to both sides of the equation: \(5x=124 + 4\), so \(5x=128\). Then divide both sides by 5: \(x=\frac{128}{5}=25.6\).

Answer:

\(x = 25.6\)