Question

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

Explanation:

Step1: Use the property of corresponding angles

Since \(m\parallel n\), \(x = 137\) (corresponding angles are equal).

Step2: Use the property of supplementary angles

\(y+137 = 180\) (linear - pair of angles, also \(m\parallel n\) and they are consecutive interior angles). Then \(y=180 - 137\).

Answer:

\(x = 137\), \(y = 43\)