Answer:
x = 15
m∡A = 89°
m∡B = 53°
Step-by-step explanation:
this shape is a kite and opposite angles (where sides of different lengths meet) are congruent
so ∡B = ∡D
109 + 109 + 5x + 14 + 3x + 8 = 360
218 + 8x + 22 = 360
8x = 120
x = 15
m∡A = 5(15) + 14 = 89°
m∡C = 3(15) + 8 = 53°