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Math Help - Rectangle and Rhombus

  1. #1
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    Rectangle and Rhombus

    In this figure, ABCD is a parallelogram and AECF is a rhombus.Triangle ABE and Triangle CDF are equilateral. If angle BAF = 84 degrees find

    a) angle ecf
    b) angle bec
    c) angle abc

    Been stuck for quite a while now. Please help me out.
    Attached Thumbnails Attached Thumbnails Rectangle and Rhombus-123.png  
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  2. #2
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    Re: Rectangle and Rhombus

    What have you done so far to figure this out?
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  3. #3
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    Re: Rectangle and Rhombus

    I have figured out angle ecf = 24
    angle bec = 144
    Not really sure on that though.
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  4. #4
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    Re: Rectangle and Rhombus

    That's correct.

    To work out the remaining angles remember that all the sides of a rhombus are equal length, and that all the sides of an equilateral triangle are equal. What do you notice about the remaining triangles?
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