Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \(x\) and the \(59^{\circ}\) angle are alternate - interior angles.
By the Alternate - Interior Angles Theorem, \(x = 59\).

Step2: Find the value of \(y\)

\(y\) and the \(59^{\circ}\) angle are vertical angles.
By the Vertical Angles Theorem, \(y = 59\).

Answer:

\(x = 59\), \(y = 59\)