Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 7

Question

Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and angle G D H is 110 degrees.
Which arc is congruent to Arc E H?

Arc G H
Arc F H
Arc G E
Arc F G

GPT-5 mini · Answer

Arc GE

Reason: EF = 55°, FG = 70°, GH = 110°, so the other arc EH = 360° − (55+70+110) = 125°. The minor arc GE = GF+FE = 70+55 = 125°, so arc GE is congruent to arc EH.

Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and angle G D H is 110 degrees.
Which arc is congruent to Arc E H?

Arc G H
Arc F H
Arc G E
Arc F G

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Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and angle G D H is 110 degrees. Which arc is congruent to Arc E H? Arc G H Arc F H Arc G E Arc F G

All Answers 1

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Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and angle G D H is 110 degrees.
Which arc is congruent to Arc E H?

Arc G H
Arc F H
Arc G E
Arc F G