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Math Help - Circles related angles and segments.

  1. #1
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    Circles related angles and segments.

    Hey Guys,
    I'm having some trouble with this problem.

    so far I know that XY = 10.
    I looked at the whole triangle first. Triangle XYZ.
    I know that XZ is 6 so I applied the pythagoreans theorem which got me YZ = 8.
    From this step I don't know what to do. I've tried looking at it different ways but nothing pops up.
    Attached Thumbnails Attached Thumbnails Circles related angles and segments.-screen-shot-2014-02-08-4.30.25-pm.png  
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  2. #2
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    Re: Circles related angles and segments.

    Hi,
    Let x=|WZ|. You know |XW| in terms of x. Apply Pythagoras to triangle XZW.
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  3. #3
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    Re: Circles related angles and segments.

    Hi Johng,

    I don't know the value of XW though.
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  4. #4
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    Re: Circles related angles and segments.

    I solved it.
    thanks
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