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Math Help - angles in pentagons

  1. #1
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    Post angles in pentagons

    hey!

    1. this diagram (the one attached) shows a regular pentagon divided into a quadrilateral. calcualte the angles in each of these triangles and the quadrilateral.

    thnx a bunch
    Joyousness
    Attached Thumbnails Attached Thumbnails angles in pentagons-2.-b-.jpg  
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  2. #2
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    The total angles in a pentagon is given by (5 - 2)π.

    So each angle is 108 degrees.
    Angle MLK = 108 degrees

    Angle MNJ = 108 degrees

    MN = NJ. So angle NMJ = angle NJM = 36 degrees

    LMOK is a rhombus.

    Now find the remaining angles.
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