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

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 \(59^{\circ}\) and \(x\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(x = 59\).

Step2: Use vertical - angles property

The angle of \(59^{\circ}\) and \(y\) are vertical angles. Vertical angles are equal. So \(y=59\).

Answer:

\(x = 59\), \(y = 59\)