Answer:
The answer is below
Step-by-step explanation:
Let lines be drawn from D to F (line DF) and from F to G (line FG) as shown in the diagram attached.
∠FDE = ∠FGE (angles in the same segment).
Also, ∠EFD = ∠EGD (angles in the same segment)
∠FDE + ∠EFD = ∠FGE + ∠EGD = ∠FGD
Adding ∠FED on both sides gives:
∠FDE + ∠EFD + ∠FED = ∠FGD + ∠FED
But ∠FDE + ∠EFD + ∠FED = 180° (sum of angles in a triangle)
Therefore ∠FGD + ∠FED = 180°
m∠G + m∠E = 180° (sum of opposite angles in a cyclic quadrilateral is 180°)
