The size of all the angles are
angle BCD = 90 degrees
angle ADE = 84 degrees
angle ABD = 6 degrees
angle AEB = 166 degrees
angle CBE = 84 degrees
angle DEA = 14 degrees
How to find the size of all the angles
The size of the angles is solved knowing that angles at the vertex o rectangle are all equal to 90 degrees and the sides are parallel to each other.
angle BCD = 90 degrees
angle ADE = 90 - 6
angle ADE = 90 - 6 = 84 degrees
angle ABD = 6 degrees (alternate interior angles are equal)
angle AEB = angle DEC (vertical angel theorem)
angle DEC = 180 - 6 - 6 (base angles are equal)
angle DEC = 166 degrees
angle AEB = 166 degrees
angle CBE = angle ADE (Alternate interior angles are equal)
angle ADE = 90 - 6 = 84 degrees
angle CBE = 84 degrees
angle CEB = angle DEA (vertical angel theorem)
angle CEB + angle DEA + angle AEB + angle DEC = 360 (angle at a point)
2 angle DEA + 2 * 166 = 360
2 angle DEA = 360 - 2 * 166
2 angle DEA = 28
angle DEA = 14 degrees