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given m || n, find the value of x and y. answer attempt 3 out of 100 x …

Question

given m || n, find the value of x and y. answer attempt 3 out of 100 x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since \(y\) and \(53^{\circ}\) are vertical angles, \(y = 53^{\circ}\).

Step2: Use corresponding - angle property

Because \(m\parallel n\), the angle with measure \(x^{\circ}\) and the angle with measure \(53^{\circ}\) are corresponding angles. Corresponding angles of parallel lines are equal, so \(x = 53^{\circ}\).

Answer:

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