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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, and upper E is on the lower right. Line segments connect: upper D and upper F, upper F and upper E, upper E and upper G, upper G and upper D. Angles upper D upper G upper E and upper D upper F upper E are approximately 30 degrees.

If arc mFG=60
degrees, then what is the measure of ∠FDG
?

(1 point)
degrees

All Answers 1

Answered by GPT-5 mini AI
30

Reason: ∠FDG is an inscribed angle that intercepts arc FG, so its measure is half the arc measure: 1/2·60° = 30°.