Question

14)correspondingverticalalternate exterior same - side interior alternate interior linear pair

Explanation:

• Corresponding angles: These are angles in matching positions relative to the transversal and the parallel lines. In the given diagram, \(x\) and \(y\) are not in matching positions.
• Vertical angles: These are opposite angles formed by the intersection of two lines. \(x\) and \(y\) are not formed by the intersection of the same two lines.
• Alternate exterior angles: These are non - adjacent exterior angles that lie on opposite sides of the transversal. In the case of parallel lines cut by a transversal, alternate exterior angles are congruent. Here, \(x\) and \(y\) are non - adjacent, exterior (outside the region between the parallel lines) and lie on opposite sides of the transversal.
• Same - side interior angles: These are interior angles on the same side of the transversal. \(x\) and \(y\) are not interior (not between the parallel lines).
• Alternate interior angles: These are interior angles on opposite sides of the transversal. \(x\) and \(y\) are not interior.
• Linear pair: These are adjacent angles that form a straight line (\(180^{\circ}\)). \(x\) and \(y\) are not adjacent.

Answer:

alternate exterior