Problem preview

G-C.2 Warmup M2-030-A13-V04

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 formed by a tangent and chord at their point on the circle. State the tangent-chord angle theorem, take half of the intercepted \(124°\) arc, and report the angle measure while distinguishing the theorem from the inscribed-angle theorem.

Answer choices

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62 degrees; tangent-chord angle theorem

124 degrees; tangent-chord angle theorem

62 degrees; inscribed angle theorem

31 degrees; exterior angle theorem

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Curriculum context

Course: Math II
Standard: G-C.2
Category: Geometry
Domain: Circles
Objective: Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.
Problem type: Choose and apply the correct circle-angle theorem from a mixed diagram description