# angles outside the circle (geometry)

### Angles Outside a Circle

An angle is *outside* a circle if its vertex is outside the circle and its sides are tangents or secants. The possibilities are: an angle formed by two tangents, an angle formed by a tangent and a secant, and an angle formed by two secants.

**Outside Angle Theorem:** The measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle is half the difference of the measures of the intercepted arcs.

m?D=mEFˆ?mGHˆ2, m?L=mMPNˆ?mMNˆ2, m?Q=mRSˆ?mRTˆ2

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