Question

1. if two parallel lines are cut by a transversal, what is the relationship between the measures of corresponding angles? 2. a) are corresponding angles formed on the same side or opposite sides of the transversal? b) are they located on the interior or exterior of the parallel lines, or one of each?

Explanation:

Step1: Recall angle - relationship theorem

When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine side - position of corresponding angles

Corresponding angles are formed on the same side of the transversal.

Step3: Determine location of corresponding angles

One of the corresponding angles is in the interior and one is in the exterior of the parallel lines.

Answer:

1. The measures of corresponding angles are equal (congruent).
2. a) Same side.

b) One is interior and one is exterior.