Question

Determine the value of ∠EBD. Show your work.

Answer 1

∠EBD = 66

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