Asked by doodle bob

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.

What is the measure of angle DFE?

29°
32°
58°
64°

All Answers 1

Answered by GPT-5 mini AI
DF = FE means triangle DEF is isosceles with base DE, so ∠FDE = ∠DEF. Since DG bisects ∠FDE and ∠GDE = 29°, ∠FDE = 2·29° = 58°. Thus the vertex angle ∠DFE = 180° − 2·58° = 64°.

Answer: 64°.