Question

problem 9: identify this pair of angles and decide whether the pair is congruent, supplementary, or neither. ∠3 and ∠5 (first taught in lesson 23) after you pick your answer press go. a b c d e alternate interior angles; congruent go

Explanation:

1. Identify Angle Type: Lines \( \ell \) and \( m \) are parallel, cut by transversal \( n \). \( \angle 3 \) and \( \angle 5 \) lie between \( \ell \) and \( m \) (interior) and on opposite sides of \( n \) (alternate), so they are alternate interior angles.
2. Determine Relationship: By the Alternate Interior Angles Theorem, alternate interior angles formed by parallel lines and a transversal are congruent. Thus, \( \angle 3 \cong \angle 5 \).

Answer:

A. alternate interior angles; congruent