Question

given ( mparallel n ), find the value of ( x ) and ( y ). answer: attempt 1 out of 100 ( x = ) blank ( y = ) blank

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), \(x\) and the \(41^{\circ}\) angle are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 41\).

Step2: Find the value of \(y\)

\(y\) and the \(41^{\circ}\) angle are supplementary angles (they form a linear - pair). The sum of supplementary angles is \(180^{\circ}\). So \(y=180 - 41=139\).

Answer:

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