Question

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

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((5x + 19)^{\circ}\) and \((6x+5)^{\circ}\) are equal. So we can set up the equation \(5x + 19=6x + 5\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation:
\(5x+19-5x=6x + 5-5x\)
\(19=x + 5\)
Then subtract \(5\) from both sides:
\(x=19 - 5\)

Answer:

\(x = 14\)