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Math Help - [SOLVED] Find the degree of the angles

  1. #1
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    [SOLVED] Find the degree of the angles

    In the figure below, what is the sum, in terms of n, of the degree measure of the four angles marked with question marks (?)

    a) n
    b)2n
    c) 180-n
    d) 360-n
    e)360-2n

    - - - - -615

    Please show steps so I can understand. Thanks in advance!!!
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    Last edited by fabxx; September 26th 2008 at 12:17 AM. Reason: To thank Moo!
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  2. #2
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    Hello,

    \angle AOB=n

    Note that \angle {\color{red}AOD}=180-n
    But we know that \angle OAD+\angle ODA+\angle AOD=180
    Hence \angle OAD+\angle ODA=180-\angle {\color{red}AOD}=180-(180-n)=n

    Similarly, we have \angle OBC+\angle OCB=n

    Thus the sum of the four angles OAD, ODA, OBC and OCB is 2n.
    Attached Thumbnails Attached Thumbnails [SOLVED] Find the degree of the angles-615.jpg  
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