answer is 95
55+30 = 85, and all angles in a triangle add up to 180
so, 180 - 85 = 95
By the Alternate Interior Angles Theorem, angle HDF and angle F are congruent, so angle F = 30 degrees.
By the Triangle Angle Sum Theorem, 55 + 30 + angle E = 180
E = 180 - 55 - 30 = 95 degrees
Answer: 95 degrees
just wanted to show the work using the theorems if you needed it.