Question

DG DFandm 3 = 73°Findm FDE

Answer 1

The required angle, Angle FDE = 17°

Step-by-step explanation

We are given that DG is perpendicular to DF.

Meaning that the angle between DG and DF is 90°.

So,

Angle GDF = 90°

But we can see from the image attached that

Angle 3 = Angle GDE

Angle 2 = Angle FDE

We can also see that

Angle GDF = (Angle GDE) + (Angle FDE)

But we are given that

Angle 3 = 73°, hence, Angle GDE = 73°

To find the Angle FDE, we can just substitute the known angles to solve

Angle GDF = (Angle GDE) + (Angle FDE)

90° = 73° + Angle FDE

We can rewrite as

73° + Angle FDE = 90°

Subtract 73° from both sides

73° + Angle FDE - 73° = 90° - 73°

Angle FDE = 17°

Hope this Helps!!!