Answer:
∠EBD = 66
Step-by-step explanation:
∠ABE = ∠FBC
∠ABE = 40 -x
∠ABE + ∠EBD = 90°
40 - x + 6x - 30 = 90
40 - 30 - x + 6x = 90 {Combine like terms}
10 + 5x = 90 {Subtract 10 from both sides}
5x = 90 - 10
5x = 80 {Divide both sides by 5]
x = 80/5
x = 16
∠EBD = 6x - 30 {Plugin x = 16 in this equation}
= 6*16 - 30
=96 - 30
= 66
