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Math Help - "Spikey circle" problem

  1. #1
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    "Spikey circle" problem

    Hi!

    I'm practicing geometry for my most important math test yet and I came upon this problem I couldn't solve. I tried to solve it for some 90 minutes using triangles and quadrilaterals, but couldn't get the correct answer. β is given and it's 25 degrees. α is the unknown to be solved. The answer in my book is α=70 degrees. What do I need to do to get that answer?

    A picture of the figure: imgur: the simple image sharer
    The figure is symmetric.

    Thanks in advance,
    amateur

    P.S. English isn't my first language as you may have noticed.
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  2. #2
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    Re: "Spikey circle" problem

    This image has the relevant angles.

    "Spikey circle" problem-clipboard01.jpg
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  3. #3
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    Re: "Spikey circle" problem

    Thanks! Quite simple after all, but too difficult for me, nonetheless.
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