A pair of parallel lines is cut by a transversal, as shown below:

Which of the following best represents the relationship between angles x and y?

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

Question

A pair of parallel lines is cut by a transversal, as shown below:

Which of the following best represents the relationship between angles x and y?

A. x = y 
B. x = 180° − y
C. y = 180° − x
D. x = 2y

mrs.biersackxx · Answer

attachment

anonymous · Answer

Whenever there are parallel lines (which is denoted in little arrows like in your attachment) cut by a transversal, vertical angles (or vertical opposite angles) are formed. Vertical angles are a pair of nonadjacent angles formed by the intersection of two straight lines; they are always congruent. http://www.mathopenref.com/anglesvertical.html