Answer:
In the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
From the figure shown:
m<AGF = 64° (Given)
m<CGE = 84° (Given)
m<AGF = m<BGE (Vertically opposite angles are equal)
m<AGF = m<BGE = 64°
m<CGE + m<BGE + m<DGB = 180° (Sum of angles on a straight line)
84 + 64 + m<DGB = 180
148 + m<DGB = 180
m<DGB = 180 - 148
m<DGB = 32°
Therefore, in the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
Step-by-step explanation: