Question

Can someone tell me how to do this? with steps?

Answer 1

Answer:

Step-by-step explanation:

In Δ AFB,

∠AFB + ∠ABF + ∠A = 180   {Angle sum property of triangle}

90 + 48 + ∠1 = 180

       138 + ∠1 = 180

                 ∠1 = 180 - 138

∠1 = 42°

FC // ED and FD is transversal

So, ∠CFD ≅∠EDF   {Alternate interior angles are congruent}

     ∠2 = 39°

In ΔFCD,

∠2 + ∠3 + ∠FCD = 180

39 + ∠3 + 90 = 180

         129 +∠3 = 180

                   ∠3 = 180- 129

∠3 = 51°