Question

given m||n, find the value of x. answer attempt 1 out of 3 x =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(3x - 15=x + 7\).

Step2: Isolate the variable \(x\) terms

Subtract \(x\) from both sides: \(3x-x-15=x - x+7\), which simplifies to \(2x-15 = 7\).

Step3: Add 15 to both sides

\(2x-15 + 15=7 + 15\), getting \(2x=22\).

Step4: Solve for \(x\)

Divide both sides by 2: \(\frac{2x}{2}=\frac{22}{2}\), so \(x = 11\).

Answer:

\(11\)