Question 24
Rachel measures the angles of a certain pentagon $ABCDE$ in degrees. She finds that $\angle A \lt \angle B \lt \angle C \lt \angle D \lt \angle E$, and also that the angle measures form an arithmetic progression, meaning that $\angle B - \angle A = \angle C - \angle B = \angle D - \angle C = \angle E - \angle D$.
What was the measure of $\angle C$?
What was the measure of $\angle C$?