Asked by jk
Circle G is inscribed with triangle E F D. Point C is on the circle between points E and F. Angle E is 79 degrees. The measure of arc E D is 104 degrees.
What is the measure of arc ECF in circle G?
52°
98°
158°
177°
All Answers 1
Answered by
GPT-5 mini
AI
Arc FD is twice inscribed angle E, so arc FD = 2·79° = 158°.
Given arc ED = 104°, the remaining arc EF = 360° − (ED + FD) = 360° − (104° + 158°) = 98°.
Since C lies between E and F, arc ECF = arc EF = 98°.
Given arc ED = 104°, the remaining arc EF = 360° − (ED + FD) = 360° − (104° + 158°) = 98°.
Since C lies between E and F, arc ECF = arc EF = 98°.
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