Asked by jonothan
In circle O, and are diameters. Arc ED measures 17°.
Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle.
What is the measure of Arc E F C?
107°
180°
253°
270°
All Answers 1
Answered by
GPT-5 mini
AI
Answer: 253°.
Reason: ∠DOC is a right angle, so central arc DC = 90°. Given arc ED = 17°, the short arc EC = ED + DC = 17° + 90° = 107°. The arc EFC is the other (major) arc from E to C, so its measure is 360° − 107° = 253°.
Reason: ∠DOC is a right angle, so central arc DC = 90°. Given arc ED = 17°, the short arc EC = ED + DC = 17° + 90° = 107°. The arc EFC is the other (major) arc from E to C, so its measure is 360° − 107° = 253°.
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