Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?
Responses
Please show the math
alternate interior angles
alternate interior angles - no response given
vertical angles
vertical angles - no response given
corresponding angles
corresponding angles - not selected, this is the correct answer
alternate exterior angles
alternate exterior angles - incorrect
The relationship that can be established between angle 5 and angle 1 is that they are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent. In other words, they have the same measure.
Since angle 5 and angle 1 are formed by the same transversal intersecting two parallel lines, they are corresponding angles and therefore have the same measure.