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Math Help - Arcs of a Circle Inscribed In a Quadrillateral

  1. #1
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    Arcs of a Circle Inscribed In a Quadrillateral

    Hello everybody. I recently got a test back and found that I completely missed several problems. The only one that completely stumped me was this one, and I was hoping that someone here could (at the very least) point me in the right direction. Ok here we go:
    (This is the exact wording. It came with no diagrams.)
    "The angles of a quadrilateral measure 85, 76, 94, and 105. A circle is inscribed in the quadrilateral. What are the measures of the arcs between each two consecutive points of tangency?"

    If anyone wants to know the Theorems that were the focus of this test, I can provide them.

    Thank you all for your time.
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  2. #2
    MHF Contributor red_dog's Avatar
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    If the measure of an angle is x, then the measure of the arc between the points of tangency is 180-x.
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