Question

given m || n, find the value of x and y.
answer attempt 1 out of 2
x =
y =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(45^{\circ}\) and \(x\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(x = 45\).

Step2: Use linear - pair property

The angles \(x\) and \(y\) form a linear - pair. A linear - pair of angles is supplementary, that is \(x + y=180^{\circ}\). Substitute \(x = 45^{\circ}\) into the equation: \(45 + y=180\), then \(y=180 - 45=135\).

Answer:

\(x = 45\), \(y = 135\)