Question

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

Explanation:

• Corresponding Angles: When two parallel lines are cut by a transversal, corresponding angles are in the same relative position. For example, if line \( l\parallel m\) and \( t\) is a transversal, \(\angle1\) and \(\angle5\) are corresponding angles.
• Supplementary Angles: Two angles are supplementary if the sum of their measures is \(180^{\circ}\). For example, if \(\angle A = 120^{\circ}\) and \(\angle B=60^{\circ}\), then \(\angle A\) and \(\angle B\) are supplementary angles.

Answer:

• Corresponding Angles: Angles in the same relative position when two parallel lines are cut by a transversal. Example: In parallel - line - transversal setup, \(\angle1\) and \(\angle5\).
• Supplementary Angles: Two angles whose sum is \(180^{\circ}\). Example: \(\angle A = 120^{\circ}\) and \(\angle B = 60^{\circ}\).