Answer:angle ECF = 32 degrees
Explanation:
BFED is a parallelogram. In a parallelogram, the opposite sides are equal. It means that BF = DE
and EF = DB
Therefore, DB = 6
Also, AD = DB = 6
To find AE, we will apply trigonometric ratio. It is expressed as
Sin# = opposite side / hypotenuse
Opposite side = 6
# = 32
Hypotenuse = AE
Sin32 = 6/AE
AE = 6/Sin 32 = 6/0.5299 = 11.32.
EC = AE = 11.32
To find angle ECF, we would apply trigonometric ratio. It is expressed as
Sin angle ECF = 6/11.32 = 0.53
angle ECF = arcsin0.53 = 32