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Math Help - question about a circle property

  1. #1
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    question about a circle property

    a chord in a circle will always extend equal angles

    but it will not extend equal angles if you exend into the other segment
    (chord divides circle into a major and minor segment, all angles in minor segment are equal to each other but not equal to the chords in major segment)

    am i correct so far?

    now i want to know if there is a relation between the angle in the minor segment and the major segment. e.g. are they suplimentary angles?

    thanks in advanced for any help!
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  2. #2
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    Quote Originally Posted by purebladeknight View Post
    a chord in a circle will always extend equal angles

    but it will not extend equal angles if you exend into the other segment
    (chord divides circle into a major and minor segment, all angles in minor segment are equal to each other but not equal to the chords in major segment)

    am i correct so far?

    now i want to know if there is a relation between the angle in the minor segment and the major segment. e.g. are they suplimentary angles?

    thanks in advanced for any help!
    You know that the angle subtended by a chord correspond to a central angle of the circle.

    I've attached a drawing to show you this property.
    Attached Thumbnails Attached Thumbnails question about a circle property-puz_nachweis.png  
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