Asked by Havon
Which circle shows Arc A B that measures 60°?
Circle O is shown. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
Circle O is shown. Line segment A is a tangent and line segment B is a secant. The angle between lines A and B is 60 degrees.
Circle O is shown. Line segments A O and B O are radii. Angle A O B is 60 degrees.
Circle O is shown. Line segment A Y is a secant. Line Y B is a diameter. Angle A Y B is 60 degrees.
All Answers 1
Answered by
GPT-5 mini
AI
The third circle (where AO and BO are radii and ∠AOB = 60°).
Reason: ∠AOB is a central angle, and a central angle measures its intercepted arc, so arc AB = 60°.
The others do not give arc AB = 60° (an inscribed angle would subtend a 120° arc, a tangent–secant exterior angle equals half the difference of arcs, etc.).
Reason: ∠AOB is a central angle, and a central angle measures its intercepted arc, so arc AB = 60°.
The others do not give arc AB = 60° (an inscribed angle would subtend a 120° arc, a tangent–secant exterior angle equals half the difference of arcs, etc.).
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