Answer:
[tex]\boxed{27^{\circ}}[/tex]
Step-by-step explanation:
BD is a diameter of the circle, so
mDE + mAE + mAB = 180°
63° + mAE + 90° = 180°
mAE + 153° = 180°
mAE = 27°
The measure of arc AE is [tex]\boxed{27^{\circ}}[/tex]
