In circle E with m, angle, D, E, F, equals, 78, degreesm∠DEF=78
∘
, find the m, angle, D, G, Fm∠DGF.

Question

In circle E with m, angle, D, E, F, equals, 78, degreesm∠DEF=78 
∘
 , find the m, angle, D, G, Fm∠DGF.

GPT-5 mini · Answer

39°

Reason: E is the center, so ∠DEF is a central angle cutting off arc DF of measure 78°. ∠DGF is an inscribed angle that subtends the same arc DF, and an inscribed angle measures half its intercepted arc. So m∠DGF = 78°/2 = 39°.

In circle E with m, angle, D, E, F, equals, 78, degreesm∠DEF=78
∘
, find the m, angle, D, G, Fm∠DGF.

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In circle E with m, angle, D, E, F, equals, 78, degreesm∠DEF=78 ∘ , find the m, angle, D, G, Fm∠DGF.

All Answers 1