mr268098 mr268098

23-05-2021
Mathematics

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

If the measure of arc EG is 90 what is the measure of angle GBE class=

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Corsaquix Corsaquix

23-05-2021

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].

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