Question

define and give an example of: corresponding angles: supplementary angles:

Explanation:

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, corresponding angles are equal. For example, when a transversal cuts two parallel lines, the angle in the upper - right corner at one intersection and the angle in the upper - right corner at the other intersection are corresponding angles.

Supplementary angles are two angles whose sum is \(180^{\circ}\). For example, if one angle is \(120^{\circ}\) and another angle is \(60^{\circ}\), then these two angles are supplementary because \(120 + 60=180\).

Answer:

Corresponding Angles: Angles in the same relative position at each intersection of a transversal with two lines. Example: When a transversal cuts two parallel lines, upper - right corner angles at each intersection.
Supplementary Angles: Two angles whose sum is \(180^{\circ}\). Example: \(120^{\circ}\) and \(60^{\circ}\) angles.