You know that an angle that is formed between two chords of a circle is an inscribed angle, but there are circumscribed angles as well. Look at the following circumscribed angles.
Are the angles inside, outside, or on the circle? | The circumscribed angles are outside the circle. |
An inscribed angle was formed by two chords. What special type of lines form these circumscribed angles? | The circumscribed angle is formed at the intersection of two tangent lines of the circle. Recall that:
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Based on what you have discovered about circumscribed angles, how would you define a circumscribed angle? | A circumscribed angle is an angle formed by two tangents to a circle with a common endpoint that forms the vertex. |