Question

find the value of x that makes lines u and v parallel.

Explanation:

Step1: Use corresponding - angles property

When two lines are parallel, corresponding angles are congruent. So, we set up the equation \(7x + 14=8x + 6\).

Step2: Solve the equation for x

Subtract \(7x\) from both sides: \(7x+14 - 7x=8x + 6-7x\), which simplifies to \(14=x + 6\). Then subtract 6 from both sides: \(14 - 6=x+6 - 6\).

Answer:

\(x = 8\)