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Math Help - Geometry problem

  1. #1
    Junior Member
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    Geometry problem

    Can somebody help me with this?

    Geometry problem-10373836_753930077960666_5618681499497225081_n.jpg

    thanks in advance
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  2. #2
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    Re: Geometry problem

    You can determine D easily enough to be 114 deg.
    You can further determine that this is an isoceles triangle and that AC=BC.

    Then you can use the law of sines to get

    $\dfrac{\sin(114deg)}{BC}=\dfrac{\sin(48deg)}{DC}$

    $\dfrac{\sin(x)}{DC}=\dfrac{\sin(174deg-x)}{AC}$

    $\dfrac{\sin(114deg)}{\sin(48deg)}=\dfrac{BC}{DC}= \dfrac{AC}{DC}=\dfrac{\sin(174deg-x)}{\sin(x)}$

    You can solve this equation to obtain

    Spoiler:
    $x=24deg$
    Thanks from ManosG
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  3. #3
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    Re: Geometry problem

    thanks a lot man
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