5. Angle Relationships in Circles
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Consider the Angles Inside the Circle Theorem (Theorem 10.15) and the Angles Outside the Circle Theorem (Theorem 10.16).
See solution.
Angles Inside the Circle Theorem |
If two chords intersect inside a circle, then the measure of each angle is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle. |
Angles Outside the Circle Theorem |
If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one-half the difference of the measures of the intercepted arcs. |
If m∠APC=21(mBD−mAC), then point P is outside the circle. |