Question

given (mparallel n), find the value of (x). (9x + 1)° (10x - 13)°

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the corresponding - angles are equal. So, we set up the equation \(9x + 1=10x-13\).

Step2: Solve the equation for \(x\)

Subtract \(9x\) from both sides of the equation: \(9x + 1-9x=10x-13 - 9x\). This simplifies to \(1=x - 13\).
Then add 13 to both sides: \(1 + 13=x-13 + 13\).

Answer:

\(x = 14\)