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find the value of x that makes m || n. (2x + 20)° 3x°

Question

find the value of x that makes m || n. (2x + 20)° 3x°

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the corresponding angles are equal. So, \(3x = 2x+20\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation \(3x = 2x + 20\). We get \(3x-2x=2x + 20-2x\), which simplifies to \(x = 20\).

Answer:

\(20\)