Question

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

Explanation:

Step1: Use the property of corresponding angles

Since \(m\parallel n\), \(x = 41\) (corresponding angles are equal).

Step2: Use the property of adjacent - supplementary angles

\(x + y=180\) (adjacent - supplementary angles). Substitute \(x = 41\) into the equation: \(41+y = 180\). Then \(y=180 - 41=139\).

Answer:

\(x = 41\), \(y = 139\)