Question

m

n, find the value of x.

124°
(5x - 4)°

Explanation:

Step1: Use the property of supplementary angles

Since \( l\parallel m\parallel n\), the angle of \(124^{\circ}\) and \((5x - 4)^{\circ}\) are supplementary angles.
The sum of supplementary angles is \(180^{\circ}\), so we have the equation \(124+(5x - 4)=180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(124 + 5x-4=180\), which becomes \(5x+120 = 180\).

Step3: Solve for \(x\)

Subtract \(120\) from both sides: \(5x=180 - 120\), so \(5x = 60\).
Divide both sides by \(5\): \(x=\frac{60}{5}\).

Answer:

\(x = 12\)