SOLUTION: Here is the picture I made to go along with this: http://tinypic.com/r/14n0ifc/6 Given: AB || CD ; BC || CD Prove: angle B is congruent to angle D Please help as soon as pos

Question 670728: Here is the picture I made to go along with this: http://tinypic.com/r/14n0ifc/6
Given: AB || CD ; BC || CD
Prove: angle B is congruent to angle D
Please help as soon as possible, & thanks!
Found 2 solutions by Theo, vleith:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
http://tinypic.com/view.php?pic=14n0ifc&s=6
Angle B congruent to Angle C (alternate interior angles of parallel lines AB and CD)
Angle D congruent to Angle C (alternate interior angles of parallel lines BC and DE)
Angle B congruent to Angle D by the Transitive Property of Equality (If a = b and b = c, then a = c).

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Use the fact there are two sets of parallel lines to prove this.
First, use alternate interior angles to show angle B is equal to angle C.
Then use a different set of alternate interior angles using the other set of parallel lines to show angle C is also equal to angle D.
If B=C and C=D, then B=D
http://www.mathsisfun.com/geometry/alternate-interior-angles.html
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