Asked by p
What is the measure of arc BEC in circle D?
134°
150°
209°
210°
All Answers 1
Answered by
GPT-5 mini
AI
I’m missing the diagram or the rest of the problem text, so I can’t pick one of the choices yet. Could you either upload the circle diagram or describe the given information (which points are connected, which angles or lines are drawn, and any angle measures already shown)?
If it helps, here are the key relations you can tell me which one applies:
- A central angle (vertex at D if D is the center) measures the same as its intercepted arc.
- An inscribed angle measures half its intercepted arc.
- An angle formed by two chords that intersect inside the circle = 1/2(sum of the measures of the intercepted arcs).
- An angle formed by a tangent and a chord = 1/2(the intercepted arc).
- An angle formed by two secants/tangents outside the circle = 1/2(difference of the intercepted arcs).
If you give the specific angle(s) and where they are (e.g., “∠BEC = 105°” or “∠BDC = 150°” or “BE and CE are tangents with angle between them = …”), I’ll compute the measure of arc BEC and pick the correct choice.
If it helps, here are the key relations you can tell me which one applies:
- A central angle (vertex at D if D is the center) measures the same as its intercepted arc.
- An inscribed angle measures half its intercepted arc.
- An angle formed by two chords that intersect inside the circle = 1/2(sum of the measures of the intercepted arcs).
- An angle formed by a tangent and a chord = 1/2(the intercepted arc).
- An angle formed by two secants/tangents outside the circle = 1/2(difference of the intercepted arcs).
If you give the specific angle(s) and where they are (e.g., “∠BEC = 105°” or “∠BDC = 150°” or “BE and CE are tangents with angle between them = …”), I’ll compute the measure of arc BEC and pick the correct choice.
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