Question

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

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of same - side interior angles is \(180^{\circ}\).
So, \(113^{\circ}+x^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(113\) from both sides of the equation \(113 + x=180\).
\(x = 180-113\)
\(x=67\)

Answer:

\(67\)