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Math Help - Similar Polygons

  1. #1
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    Similar Polygons

    Hey Guys,

    For number 19)

    I ended up getting 49 for the measure of angle L

    But it's wrong since the correct answer is 90.

    What I did is just combine all of the given into an equation and give it an equals value of 360
    Doesn't work since I got the answer wrong.
    Attached Thumbnails Attached Thumbnails Similar Polygons-19.png  
    Last edited by Cake; November 5th 2013 at 11:09 PM.
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  2. #2
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    Re: Similar Polygons

    Since the quadrilaterals are similar their corresponding angles must be equal.
    Thus angle A = angle H that implies 2x + 4 = 68 OR x = 32 degree
    Also angle L = angle D = 3x - 6, Plug in the value of x which we just calculated i.e., x = 32 we get
    angle L = 3 * 32 - 6 = 96-6=90 degree
    Thanks from Cake
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  3. #3
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    Re: Similar Polygons

    Quote Originally Posted by ibdutt View Post
    Since the quadrilaterals are similar their corresponding angles must be equal.
    Thus angle A = angle H that implies 2x + 4 = 68 OR x = 32 degree
    Also angle L = angle D = 3x - 6, Plug in the value of x which we just calculated i.e., x = 32 we get
    angle L = 3 * 32 - 6 = 96-6=90 degree
    Perfect, Got it!
    Thanks!
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