In triangle $ABC,$ $\angle A = p + 2q$ degrees, $\angle B = 6p - 8q$ degrees, and $\angle C = 17p + 2q$ degrees. Find $p$ (in degrees).
The sum of the angles in a triangle sum to 180 degrees. So, we have p + 2q + 6p - 8q + 17p + 2q = 180 24p - 4q = 180
6p - q = 180
P can equal many numbers, assuming you want integers