Question

question
given ( m | n ), find the value of ( x ).
answer

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the alternate - interior angles are equal. So, \(9x - 8=4x + 22\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides:
\(9x-4x - 8=4x-4x + 22\)
\(5x-8 = 22\)
Add \(8\) to both sides:
\(5x-8 + 8=22 + 8\)
\(5x=30\)
Divide both sides by \(5\):
\(x=\frac{30}{5}\)

Answer:

\(6\)