The angle of BCD is 104 degrees.
To find the angle of BCD, we can use the fact that the angles in a kite add up to 360 degrees.
Angle A + Angle B + Angle C + Angle D = 360 degrees
We know the values of angles A and D, so we can plug them into the equation and solve for angle B:
114 degrees + Angle B + Angle C + 38 degrees = 360 degrees
Angle B + Angle C = 208 degrees
We also know that the angles in a kite are opposite each other, so Angle B and Angle C are equal.
Angle B = Angle C = 208 degrees / 2 = 104 degrees
Therefore, the angle of BCD is 104 degrees.