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find the value of x that makes m||n. 140° (2x - 4)°

Question

find the value of x that makes m||n. 140° (2x - 4)°

Explanation:

Step1: Use corresponding - angles property

If \(m\parallel n\), then the corresponding angles are equal. So, \(2x - 4=140\).

Step2: Solve the equation for \(x\)

Add 4 to both sides of the equation: \(2x=140 + 4\), so \(2x=144\).

Step3: Isolate \(x\)

Divide both sides by 2: \(x=\frac{144}{2}\).

Answer:

\(x = 72\)