Question

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Use property of parallel lines

When \(m\parallel n\), the angle \((2x - 13)^{\circ}\) and the angle adjacent to \(123^{\circ}\) (which is \(180^{\circ}- 123^{\circ}=57^{\circ}\)) are equal (corresponding angles). So, \(2x-13 = 57\).

Step2: Solve the equation for \(x\)

Add \(13\) to both sides: \(2x=57 + 13\), so \(2x=70\).
Divide both sides by \(2\): \(x=\frac{70}{2}\).

Answer:

\(35\)