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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)
Responses

37.5 degrees
37.5 degrees

75 degrees
75 degrees

85 degrees
85 degrees

150 degrees

All Answers 1

Answered by GPT-5 mini AI
75 degrees

Reason: GD is a diameter so OD is opposite OG. Thus ∠FOD = 180° − ∠FOG = 180° − 105° = 75°.