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Math Help - Simple math proof help?

  1. #1
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    Simple math proof help?

    Given: m <2 = m <4

    Prove: m <1 = m <3
    Simple math proof help?-proof-1.png
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    Re: Simple math proof help?

    Quote Originally Posted by Connorzman View Post
    Given: m <2 = m <4
    Prove: m <1 = m <3
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    From the given you know that \overline{AB}\parallel\overline{DC}
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    Re: Simple math proof help?

    Quote Originally Posted by Plato View Post
    From the given you know that \overline{AB}\parallel\overline{DC}
    It certainly looks like AB and DC are parallel, but I think it is more logical to use the angles directly. Angles AEB and DEC are vertex angles so they are equal. Since we are given that angles 2 and 4 are equal we may say that the angles 1 and 3 are equal since the sum of interior angles of a triangle is 180 degrees. ie. 180 = angle 2 + angle AEB and 180 = angle 4 + angle DEC. Can you finish this up?

    -Dan
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    Re: Simple math proof help?

    Quote Originally Posted by topsquark View Post
    It certainly looks like AB and DC are parallel, but I think it is more logical to use the angles directly. Angles AEB and DEC are vertex angles so they are equal. Since we are given that angles 2 and 4 are equal we may say that the angles 1 and 3 are equal since the sum of interior angles of a triangle is 180 degrees. ie. 180 = angle 2 + angle AEB and 180 = angle 4 + angle DEC. Can you finish this up?
    There are parallel by the alternate interior theorem.
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