Question

m || n, find the value of x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the \(120^{\circ}\) angle and \((5x + 20)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(5x+20 = 120\).

Step2: Solve the equation for \(x\)

Subtract 20 from both sides: \(5x=120 - 20\), so \(5x = 100\). Then divide both sides by 5: \(x=\frac{100}{5}\).

Answer:

\(x = 20\)