Answer:
m∠FGE=52.5 degrees
Explanation:
Angle FGE is formed by the intersection of two secants (BG and GD).
The intercepted arcs are BD and FE.
Therefore:
[tex]m\angle\text{FGE}=\frac{1}{2}(m\widehat{\text{BD}}-m\widehat{FE})[/tex]
Substitute the given values:
[tex]\begin{gathered} m\angle\text{FGE}=\frac{1}{2}((100+35)-30) \\ =\frac{1}{2}(105) \\ m\angle\text{FGE=52.5}\degree \end{gathered}[/tex]
