Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(4x + 3=x - 3\).

Step2: Rearrange the equation

Subtract \(x\) from both sides: \(4x - x+3=x - x - 3\), which simplifies to \(3x+3=-3\).

Step3: Isolate the variable term

Subtract 3 from both sides: \(3x+3 - 3=-3 - 3\), getting \(3x=-6\).

Step4: Solve for \(x\)

Divide both sides by 3: \(\frac{3x}{3}=\frac{-6}{3}\), so \(x=-2\).

Answer:

\(x = - 2\)