Answer:
55 degrees
Step-by-step explanation:
Angle ACE and BDE are congruent so segments AC and BD are parallel. That makes angles CAE and DBE congruent.
6x - 15 = 5x - 1
x - 15 = -1
x = 14
So, the measure of angle BDE = 4x = 56 degrees. The measure of angle DBE = 5x - 1 = 69 degrees.
The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55
