Question

If the measure of arc EG is 90°, what is the measure of angle GBE?

Answer 1

`m\angle GBE=45^(\circ)`

Explanation:

Any angle with a point on the circle will have a measure that is half of the arc it forms. Since
`\angle GBE` forms arc
`\widehat{GE}` which is given as
`90^(\circ)`, the measure of angle
`\angle GBE` is equal to
`(90)/(2)=45^(\circ)`.