Final answer:
Given angles c and e are vertical angles and angle e is 72.4°, angle c is also 72.4° as vertical angles are congruent.
Step-by-step explanation:
The subject of this question is in the field of geometry, specifically working with vertical angles. Vertical angles are pairs of angles that are opposite each other when two lines intersect, and they are always congruent (the same measure).
Given that angles c and e are vertical angles, and the measure of angle e is 72.4°, the measure of angle c is also the same. So, the measure of angle c is 72.4°.
Therefore, the correct answer is A.72.4°.
Learn more about Vertical Angles