Question

in the drawing below, lines a and b are parallel lines cut by the transversal c. jeremiah wishes to find angles that are congruent to ∠7 in order to prove that ∠7≅∠3. which angles are congruent to ∠7? why are they congruent to ∠7? select two that apply. a. ∠8 because linear pairs are congruent b. ∠6 because vertical angles are congruent

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines are cut by a transversal, vertical angles are congruent. Vertical angles are the non - adjacent angles formed by two intersecting lines.

Step2: Analyze each option

• Option A: Linear pairs are supplementary (sum to 180°), not congruent. So, ∠8 is not congruent to ∠7 because they form a linear pair.
• Option B: ∠6 and ∠7 are vertical angles. By the vertical - angle theorem, vertical angles are congruent.

Answer:

B. ∠6 because vertical angles are congruent