Question

given m||n, find the value of x.

Explanation:

Step1: Use property of parallel lines

When two parallel lines are cut by a transversal, corresponding - angles are equal. So, we set up the equation \(5x - 10=6x + 3\).
\(5x-10 = 6x + 3\)

Step2: Solve the equation for \(x\)

First, subtract \(5x\) from both sides of the equation:
\(-10=x + 3\).
Then subtract 3 from both sides:
\(x=-10 - 3\).
\(x=-13\)

Answer:

\(x=-13\)