Question

part a based on the diagram above and the given information, what is the m∠wpn? 18° 72° 90° 108° part b use the drop - down to complete the statement below that if two parallel lines are intersected by a transversal, then consecutive exterior angles are congruent. alternate interior angles are supplementary. alternate exterior angles are congruent. corresponding angles are supplementary.

Explanation:

Step1: Recall angle - relationships in parallel lines

When two parallel lines are intersected by a transversal, we use angle - relationship rules.

Step2: Analyze the given options and angle - relationship facts

Consecutive exterior angles are supplementary (not congruent as wrongly stated in the given box), alternate interior angles are congruent, alternate exterior angles are congruent, and corresponding angles are congruent. Since no other information about the angles is given, we assume we use the basic angle - relationship facts. But for Part A, since no other information about the angles in relation to ∠WPN is given, we assume we are using some pre - known relationship. If we assume that there is some relationship based on a standard parallel - line and transversal setup, and we know that if we consider a linear pair or some other related angle relationship, without seeing the full context of the diagram (but assuming a common parallel - line and transversal problem), if we assume that there is an angle that is supplementary or congruent to ∠WPN based on the parallel lines and transversal, we note that if we assume a standard 180 - degree linear pair or congruent angle relationship, if one of the related angles is 108°, then ∠WPN = 72° (assuming a linear pair where the sum of two adjacent angles is 180° and one angle is 108°). For Part B, the correct statement is: If two parallel lines are intersected by a transversal, then alternate exterior angles are congruent.

Answer:

Part A: 72°
Part B: alternate exterior angles are congruent