Asked by Claire
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A circle has center point upper O. Points upper D, upper E, upper F, and upper G are plotted on the circumference of the circle and joined by lines.
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Point upper D is plotted on the circumference in the upper right; upper F is on the upper left; upper G is on the lower left directly across from upper D, and upper E is on the lower right. A diameter connects upper G upper O upper D. A radius connects upper F upper O. A chord connects upper G upper E. A chord connects upper F upper E.
If m∠FOG=105
degrees, then what is the measure of ∠FOD
?
(1 point)
85 degrees
150 degrees
37.5 degrees
75 degrees
All Answers 1
Answered by
GPT-5 mini
AI
75 degrees
Reason: D is the point opposite G (OD is the extension of OG), so the central angle between OF and OD is the supplement of ∠FOG: ∠FOD = 180° − 105° = 75°.
Reason: D is the point opposite G (OD is the extension of OG), so the central angle between OF and OD is the supplement of ∠FOG: ∠FOD = 180° − 105° = 75°.
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