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Tangents of circles problems

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Angle A is circumscribed about circle O.
What is the measure of angle, A?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
A circle centered around point O. Point A is outside of the circle. Segment O B and segment O C are both radii of the circle. There are line segments that connect point A to points B and C, creating segment A B and segment A C. There is a point D on the circle that lies opposite to point A. There are chords connecting points B and C to point D, creating segment B D and segment C D. The angle B D C measures sixty-five degrees.