Question

linear pair
vertical
corresponding
same - side interior
alternate interior
alternate exterior

Explanation:

• Alternate interior angles are formed when a transversal crosses two parallel lines. They are non - adjacent, lie between the two parallel lines (interior), and on opposite sides of the transversal (alternate). In the given figure, angles \(x\) and \(y\) fit this description as they are between the two parallel lines and on opposite sides of the transversal.
• A linear pair are adjacent angles that form a straight line (sum to \(180^{\circ}\)), but \(x\) and \(y\) are not adjacent. Vertical angles are opposite angles formed by two intersecting lines, which is not the case here. Corresponding angles are in the same relative position (e.g., both top - right), which \(x\) and \(y\) are not. Same - side interior angles are on the same side of the transversal and between the parallel lines (sum to \(180^{\circ}\) if lines are parallel), but \(x\) and \(y\) are on opposite sides. Alternate exterior angles are outside the parallel lines, but \(x\) and \(y\) are inside.

Answer:

alternate interior