Question

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

A pair of parallel lines is cut by a transversal. The exterior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as m. The interior angle made on the left by the intersection of the lower parallel line and the transversal is labeled as n.

Which of the following best represents the relationship between angles m and n?

m = 180 degrees − n
n = 180 degrees − m
m = n
n = 2m

Answer 1

m=n based on that they are corresponding angles

Answer 2

Answer:

m = n

Step-by-step explanation:

Two lines (line a and line b) are parallel to each other. If it cut by a traversal line (line l) then, it form  four pairs of corresponding angles and  each pair of corresponding angles are same (by Corresponding Angle Axiom)

But, in this question the angle m and angle n are the only a pair of corresponding angle and lines are parallel.

Hence we say that  the best represents the relationship between angles m and n is m=n