Question

given m || n, find the value of x and y.
answer
attempt 1 out of 100
x =

y =

Explanation:

Step1: Identify angle - type 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 \(x = 41^{\circ}\).

Step2: Find the value of \(y\)

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

Answer:

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