In the given figure, AE || BD, ∠FAE = 60° and ∠ACB = ∠FAE - 20°. Find the measure of ∠x.

Question

Step by step explanation please.

Answer 1

x=80 degrees

Angle ACB = 60-20 = 40 degrees

Angle ABC = 60 degrees

3 angles of any triangle sum to 180. x+40+60 = 180

x = 180-40-60 = 80 degrees

Since AE and BD are parallel, Angle ABC = Angle FAE = 60 degrees