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Math Help - A, B, C, D are collinear points

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    A, B, C, D are collinear points

    A, B, C, D are collinear points in this order. Draw the regular triangles ABE and CDF on one side of the line. Let G denote the intersection of the circles ACE and BDF on the same side of the line ABCD. Prove that < AGD=120 .
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  2. #2
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    Quote Originally Posted by perash View Post
    A, B, C, D are collinear points in this order. Draw the regular triangles ABE and CDF on one side of the line. Let G denote the intersection of the circles ACE and BDF on the same side of the line ABCD. Prove that < AGD=120 .
    If AB = BC = CD, and if "regular triangle" means equilateral/equiangular, then angle AGD is really 120 degrees. Points E, G and F are collinear too. Triangle BGC is a regular triangle too.
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