Question

question 16 which angle is not congruent to ∠5? ∠16 ∠9 ∠3 ∠8

Explanation:

Step1: Recall angle - congruence rules

When two parallel lines are cut by a transversal, corresponding angles, alternate - interior angles, and alternate - exterior angles are congruent.

Step2: Analyze the position of ∠5

∠5 is an angle formed by two lines cut by a transversal. ∠16 and ∠5 are alternate - exterior angles, so ∠16≅∠5. ∠9 and ∠5 are corresponding angles, so ∠9≅∠5. ∠3 and ∠5 are alternate - interior angles, so ∠3≅∠5.

Step3: Check ∠8

∠8 and ∠5 are adjacent angles that are supplementary (∠5 + ∠8=180° if the lines are parallel), not congruent.

Answer:

D. ∠8