Question

15 multiple answer 5 points select all of the statements that are true. x is equal to 47 degrees x is equal to 133 degrees y is equal to 133 degrees the 47 degree angle and angle x are corresponding angles the 47 degree angle and angle x are same - side interior angles

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines \(m\) and \(n\) are cut by a transversal, corresponding angles are equal. The \(47^{\circ}\) angle and \(x\) are corresponding angles. So \(x = 47^{\circ}\).

Step2: Recall linear - pair relationship

Since \(x\) and \(y\) form a linear - pair (a straight - line angle which is \(180^{\circ}\)), and \(x = 47^{\circ}\), then \(y=180 - 47=133^{\circ}\).

Answer:

A. X is equal to 47 degrees
C. Y is equal to 133 degrees
D. The 47 degree angle and angle X are corresponding angles