The given shape is a kite, by definition. By definition of a kite, there will be two pairs of adjacent congruent sides. Also note, as it has 4 angles, it's total interior angle measurements will = 360°.
∴ the measurements of B & D can be found by subtracting the measurements for C and A & dividing by 2:
[360 - (32 + 102)]/2 = 113°
m∠B & m∠D would therefore = 113°