Given that arc GF has a measure of 108°, what is the measure of ∠ E?
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Answer:
The measure of ∠ E is 108°.
Step-by-step explanation:
It is given that arc GF has a measure of 108°.
A part of the circumference is arc length. The arc length is defined as
[tex]l=r\theta[/tex]
where, r is radius and θ is central angle.
In the unit the arc length is equal to the the central angle.
[tex]Arc(GF)=108^{\circ}[/tex]
[tex]\angle GEF=108^{\circ}[/tex]
Therefore the measure of ∠ E is 108°.