Question

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 □ c. ∠4 because alternate interior angles are congruent □ d. ∠3 because corresponding angles are congruent the two correct answers are choose your answer_ and choose your answer_ (put your answers in alphabetical order)

Explanation:

• Option A is incorrect as linear - pairs are supplementary, not congruent.
• Option B: Vertical angles are formed by two intersecting lines and are congruent. If ∠7 and ∠6 are vertical angles, they are congruent.
• Option C: Alternate - interior angles are congruent when there are parallel lines and a transversal. If ∠7 and ∠4 are alternate - interior angles, they are congruent.
• Option D: Corresponding angles are congruent when there are parallel lines and a transversal. ∠7 and ∠3 are not corresponding angles.

Answer:

B. ∠6 because vertical angles are congruent
C. ∠4 because alternate interior angles are congruent