Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD.
Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points E and D to point F to form chords E F and D F. Tangents E G and D G intersect at point G outside of the circle. Angle E G D is 60 degrees and angles G E C and G D C are right angles. The lengths of E F and D F are congruent.
Which statements about the arcs and angles are true? Select three options.
∠EFD ≅ ∠EGD
∠EGD ≅ ∠ECD
Arc E D is-congruent-to arc F D
mArc E F = 60°
mArc F D = 120°