Question

A pair of parallel lines is cut by a transversal, as shown in the figure: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y. Which of the following best represents the relationship between angles x and y?

A. x = y
B. x = 180 degrees − y
C. y = 180 degrees − x
D. x = 2y

Answer 1

In the given figure, you have a pair of parallel lines cut by a transversal. When this happens, several angle relationships are formed.

The angles formed on the same side of the transversal and between the two parallel lines are called corresponding angles. Corresponding angles are equal in measure, meaning that if you have an angle x on one side of the transversal, the corresponding angle on the other side of the transversal will also be x.

So, in this case, the angle x on the left is corresponding to the angle y on the right. Therefore, the relationship between angles x and y is:

A. x = y

So, the correct answer is A.