Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.
Choose and apply the correct circle-angle theorem from a mixed diagram description
Problem
Classify the angle by locating its vertex on the circle and identifying its intercepted \(96°\) arc. State the applicable theorem, write the half-arc calculation, and give the angle measure.
In a mixed circle diagram, the angle’s vertex location chooses the theorem before any arithmetic begins. We’ll identify the vertex on the circle, trace the rays to the intercepted arc’s endpoints, and then apply the half-arc relationship.
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