Supplementary Angles Facf6C

1. **State the problem:** Identify which pairs of angles are supplementary. Supplementary angles are two angles whose measures add up to $$180^\circ$$. 2. **Recall the rule:** When two parallel lines are cut by a transversal, the following pairs are supplementary: - Consecutive interior angles (same side interior) - Linear pairs (adjacent angles on a straight line) 3. **Analyze each pair:** - $$\angle 4$$ and $$\angle 8$$: These are corresponding angles on the lower right and upper right intersections, not supplementary. - $$\angle 1$$ and $$\angle 3$$: Both are on the lower and upper intersections but on opposite sides; these are corresponding angles, not supplementary. - $$\angle 5$$ and $$\angle 8$$: These are adjacent angles on the upper intersection, forming a linear pair along the transversal line, so they add up to $$180^\circ$$. - $$\angle 7$$ and $$\angle 1$$: These are alternate interior angles, equal but not supplementary. 4. **Conclusion:** The supplementary pair is $$\angle 5$$ and $$\angle 8$$. **Final answer:** $$\angle 5$$ and $$\angle 8$$ are supplementary angles.