Question

name the angle relationship. (select all that apply) congruent vertical angles corresponding supplementary

Explanation:

• Congruent Angles: Angles that have the same measure. In the case of parallel lines cut by a transversal, certain angle pairs (like alternate - interior, alternate - exterior, corresponding angles) are congruent. Here, if the lines are parallel, the angles in question (assuming standard transversal - parallel line set - up) can be congruent.
• Vertical Angles: Vertical angles are formed when two lines intersect. They are opposite each other and are always congruent. In the given diagram (assuming the two lines intersecting the parallel lines form vertical angles), vertical angles can be a valid relationship.
• Supplementary Angles: Two angles are supplementary if their sum is \(180^{\circ}\). When a transversal intersects parallel lines, consecutive - interior (same - side interior) angles are supplementary. If the angles in question are consecutive - interior or form a linear pair (which are also supplementary), this relationship can hold.

Answer:

1. Congruent, 2. Vertical Angles, 4. Supplementary