Question

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.

Which of the following statements is true?

(1 point)

∠DFE≅∠GEF



∠FEG≅∠FDG



∠FDG≅∠DFE



∠GDF≅∠DGE

Answer 1

∠FEG ≅ ∠FDG.

Reason: Both are inscribed angles that subtend the same arc FG, so they are equal.