Answer:
[tex]m\angle GBE=45^{\circ}[/tex]
Step-by-step explanation:
Any angle with a point on the circle will have a measure that is half of the arc it forms. Since [tex]\angle GBE[/tex] forms arc [tex]\widehat{GE}[/tex] which is given as [tex]90^{\circ}[/tex], the measure of angle [tex]\angle GBE[/tex] is equal to [tex]\frac{90}{2}=45^{\circ}[/tex].
