Question

In the adjoining figure , angle BAC =angle FAE and angle EAD = angle CAD . Name the angle that is congruent to angle FAD . justify answer.​

Answer 1

Let ∠BAC=∠ FAE= x

Let ∠EAD = ∠CAD = y

∠FAD = ∠ FAE + ∠EAD

∠FAD = x + y

∠BAC+∠CAD = x + y

∠BAC+∠CAD = ∠BAD

Which means that ;

∠FAD ≅ ∠BAD

I hope it helped you ✌.