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G-C.2 Warmup M2-030-A07-V04

Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.

Find the measure of an exterior angle formed outside a circle from two intercepted arcs

Problem

An exterior angle is formed outside a circle by a tangent and a secant. If the intercepted arcs measure \(160^{\circ}\) and \(70^{\circ}\), what is the angle measure?

Unworked circle diagram showing only the supplied geometric configuration and measures. Open full size
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Four variants of this problem type
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
Find the measure of an exterior angle formed outside a circle from two intercepted arcs