Question

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

Explanation:

Step1: Use property of parallel - lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the corresponding angles (or alternate - interior angles, etc., in this case, the angles \((7x + 22)^{\circ}\) and \((8x+8)^{\circ}\) are equal). So we set up the equation \(7x + 22=8x + 8\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides of the equation: \(7x+22-7x=8x + 8-7x\), which simplifies to \(22=x + 8\). Then subtract 8 from both sides: \(22-8=x+8 - 8\), so \(x = 14\).

Answer:

\(x = 14\)