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Inscribed angles


A circle is centered on point B. Points A, C and D lie on its circumference.
If start color #6495ed, angle, A, B, C, end color #6495ed measures 40, degrees, what does start color #ffa500, angle, A, D, C, end color #ffa500 measure?
  • Your answer should be
  • an integer, like 6
  • 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
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
A circle centered at point B. Points A, D, and C all lie on the circle in a clockwise direction. Segments A B and C B are both radii of the circle. There is a chord connecting points C and D. There is another chord connecting point A and D. The two chords create an irregular quadrilateral with angle A D C inside of it.