Answer:
ADE = 63°
Step-by-step explanation:
One thing at a time. We can start telling that triangle ADE is isosceles, of baseAD. Means the two angles EAD e ADE are congruent, and each measures [tex]\frac {180-54}2 = 63°[/tex].
Now look at angles EDA and ECB. They are corresponding angles relative to the parallels DA and CB, so they are congruent. Measure of angle C is the same of measure of angle ADE = 63°
Edit: I've been asked for the rest of the measures. Purple ones are the one you find during the exercize. Red ones are the remaining. External ADC is supplementary to ADC (it's an external angle) angle BAD is alternate to ADE respect to the two parallels AB and CE, so they are congruent. Angle ABC is supplementary to angle BCD since they're internal conjugate relative to the same two parallels.