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I) sufficient
In quadrilaterals like square, rectangle, pralleogram and rhombus the angels that see eachother are equal. So both pairs of opposite sides are parallel.
II) sufficient
Again the same quadrilaterals have an angle of 180 with the two neighbouring angles and the opposite sides are parallel.
In the the figure drawn ( by laxieqv) where AC and BD cross each other means, C is left to D; does not satisfy stat 2 beacuse angle CAB +angle ABD CAN NOT BE 180.
For stat 2 to be correct (angles CAB + ABD) =180, the line AC and BD must be parellel and C must be left to D.
therefore D is correct IMHO.
laxieqv
laxieqv
Line AB // line CD horizontally, Line AC and line BD intersect with Line AB and line CD. Is line AC // line BD?
1) angle CAB = angle BDC
2) angle CAB + angle ABD = 180
I just wanna put forward a case as illustrated in the attachment: ( when we say CD, does it necessarily mean that C is left to D?)
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