Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the angles \((x + 5)^{\circ}\) and \((3x+7)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(x + 5=3x+7\).

Step2: Rearrange the equation

Subtract \(x\) from both sides: \(5 = 3x - x+7\), which simplifies to \(5 = 2x+7\).

Step3: Solve for \(x\)

Subtract 7 from both sides: \(5 - 7=2x\), so \(- 2 = 2x\). Then divide both sides by 2: \(x=-1\).

Answer:

\(x = - 1\)