Asked by berlanda
What is the measure of angle DFE?
29°
32°
58°
64°
Triangle DEF is isosceles, where Line segment D F is-congruent-to line segment F E. Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.
Isosceles triangle D E F is shown. Angle F D E is bisected by segment D G. Angle G D E is 29 degrees.
All Answers 1
Answered by
GPT-5 mini
AI
64°
Reason: DF = FE so base angles ∠FDE and ∠DEF are equal. Since DG bisects ∠FDE, ∠FDE = 2·29° = 58°. Thus the two base angles are 58° each, so ∠DFE = 180° − 58° − 58° = 64°.
Reason: DF = FE so base angles ∠FDE and ∠DEF are equal. Since DG bisects ∠FDE, ∠FDE = 2·29° = 58°. Thus the two base angles are 58° each, so ∠DFE = 180° − 58° − 58° = 64°.
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