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If <1 is supplementary to <2 and <3 ~= <1, prove AD II BC.

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2007-07-31 10:09:15 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

The sum of the interior angles of a 4-sided figure are

(4-2) x 180 = 360

If <1 and <2 are suppl. and <1 ~ <3,
then <3 and and <2 and
This proves the quadrilateral must be a parallelogram.
By definition of a parallelogram, opposite sides are parallel.
So AD || BC.

2007-07-31 10:24:52 · answer #1 · answered by whabtbob 6 · 0 0

as 1+2=180 then they are interior angles as 1=3 alternate then AD II BC

2007-08-03 10:10:43 · answer #2 · answered by mramahmedmram 3 · 0 0

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