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Math Help - Need help: a question on triangle geometry

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    Need help: a question on triangle geometry

    [Refer to the attachment for picture]

    Given an isoscles triangle ABC where AB = AC.
    angle BAC = 20 (degrees)
    angle EBC = 60
    angle DCB = 50

    Find angle DEB.

    Hint: produce 2 other straight lines within triangle ABC.

    Method being tried:
    prove triangle ABE = isoscles
    produce a line GE with G as a point on AD; assume GE = DE
    prove triangles AGE and BDE = congruent (AAS)
    prove GE // DC (not done yet...)
    hence angle AEG = angle ACD = 30 (degrees)
    hence angle DEB = 30 (degrees)
    OR
    produce the same line GE and assume that GE // DC, then prove triangle AGE congruent to BDE....

    Thanks.
    Attached Thumbnails Attached Thumbnails Need help: a question on triangle geometry-ques-1.bmp  
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