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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 \(53^{\circ}\) and \(x^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(x = 53\).

Step2: Use vertical - angles property

The angle of \(y^{\circ}\) and the \(53^{\circ}\) angle are vertical angles. Vertical angles are equal. So \(y=53\).

Answer:

\(x = 53\), \(y = 53\)