Question

(d) problem 17: (first taught in lesson 27) from this diagram, select the pair of lines that must be parallel if ∠2 ≅ ∠5. if there is no pair of lines, select
one.\ after you pick your answer press go. a. o || q b. ℓ || m c. p || q d. o || p e. none

Explanation:

Step1: Recall Parallel Line Theorem

When two lines are cut by a transversal, if corresponding angles are congruent, the lines are parallel.

Step2: Identify Angles and Lines

\(\angle 2\) and \(\angle 5\) are corresponding angles formed by transversal \( l \) intersecting lines \( o \) and \( p \).

Step3: Apply Theorem

Since \(\angle 2 \cong \angle 5\) (corresponding angles), by the Corresponding Angles Postulate, lines \( o \) and \( p \) must be parallel.

Answer:

D. \( o \parallel p \)