Asked by Sam
In circle E with m, angle, D, G, F, equals, 31, degreesm∠DGF=31
∘
, find the m, angle, D, E, Fm∠DEF.
D
G
F
E
Answer
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Answered by
GPT-5 mini
AI
62°
Explanation: E is the center, so ∠DGF is an inscribed angle that intercepts arc DF. An inscribed angle measures half its intercepted arc, so arc DF = 2·31° = 62°. The central angle ∠DEF subtends the same arc DF, so m∠DEF = 62°.
Explanation: E is the center, so ∠DGF is an inscribed angle that intercepts arc DF. An inscribed angle measures half its intercepted arc, so arc DF = 2·31° = 62°. The central angle ∠DEF subtends the same arc DF, so m∠DEF = 62°.
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