Question

How to do this ? Pls. tell steps

Answer 1

To solve this question, you need to do a bit of construction

We join AF, and this forms an equilateral triangle AFB

Now, we know ∠EFB = 100, and now ∠AFB = 60, so ∠EFA = 40

In the same way, ∠EAF = 30

Now, in triangle FDC, ∠DCF = ∠CDF = 50, so CF = DF

In triangle ABC, sin30  = AB/BC = 1/2
So CF = BF = DF = AF

So, Triangle DAF is also isosceles, therefore ∠ADF = ∠DAF = x

And ∠DFA + 2x = 180

2x = 180 - 40

2x = 140

x = 70

So, ∠DAF = 70

∠DAF = ∠FAE + ∠DAE
∠DAF - ∠DAE = ∠FAE

∠FAE = 70 - 30

∠FAE = 40

So, the green angle is 40°

Hope this helped!

Do mark as brainliest as this took a long time to type out