Question

given ( mparallel n ), find the value of ( x ).

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, \(3x - 17=2x + 2\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation:
\((3x-2x)-17=(2x - 2x)+2\)
\(x-17 = 2\)
Then add \(17\) to both sides:
\(x-17 + 17=2+17\)

Answer:

\(x = 19\)