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Math Help - Find value of angle alpha

  1. #1
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    Find value of angle alpha

    Been stuck for a while any hints? D:
    Thanks in advance

    AB=BC=ED

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  2. #2
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    Re: Find value of angle alpha

    Hi,
    The answer is $\alpha=125$. Crucial to the proof is the fact that triangle AEB is isosceles. I tried unsuccessfully to prove this using geometry only. However, there is a simple proof using trigonometry. The first attachment separates this fact as a lemma and the second attachment solves your problem.

    Find value of angle alpha-mhfgeometry67.png

    Find value of angle alpha-mhfgeometry67a.png
    Thanks from earboth
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