Answer:
a. corresponding angles (congruent)
b. alternate exterior angles (congruent)
c. same-side interior angles (supplementary)
Step-by-step explanation:
The vocabulary associated with angles created by a transversal and parallel lines is not so difficult.
If angles are on the same side of the transversal, they are <em>same-side</em> angles. If not, they are <em>alternate</em> angles.
If angles are between the parallel lines, they are <em>interior</em> angles. If not, they are <em>exterior</em> angles.
If the angles are in the same direction from the point of intersection of the transversal with the parallel line, they are <em>corresponding</em>. Corresponding angles are same-side; one is interior and the other is exterior.
These names generally apply to angles with different vertices.
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a. Both angles are northwest of the intersection point; they are same-side, and one is interior and one is exterior. They are corresponding angles. (congruent)
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b. The angles are on opposite sides of the transversal and are outside the parallel lines. They are alternate exterior angles. (congruent)
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c. The angles are on the same side of the transversal, and both are between the parallel lines. The are same-side interior angles. (supplementary)
