Question

Wouldn’t the angle of fge be 1/2 the distance of the incercepted arc which would 135?

Answer 1

m∠FGE=52.5 degrees

Step-by-step explanation:

Angle FGE is formed by the intersection of two secants (BG and GD).

The intercepted arcs are BD and FE.

Therefore:

`m\angle\text{FGE}=(1)/(2)(m\widehat{\text{BD}}-m\widehat{FE})`

Substitute the given values:

`\begin{gathered} m\angle\text{FGE}=(1)/(2)((100+35)-30) \\ =(1)/(2)(105) \\ m\angle\text{FGE=52.5}\degree \end{gathered}`