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How would you define a circumscribed angle?

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.

Circumscribed anglesCircumscribed angles

Are the angles inside, outside, or on the circle?
An inscribed angle was formed by two chords. What special type of lines form these circumscribed angles?
Based on what you have discovered about circumscribed angles, how would you define a circumscribed angle?