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1. "for every line l and for every point P not lying on l , there exists a unique line m passing through P and parallel to l."
2. Yes , If a straight line l falls on two straight lines m and n such that sum of two interior angle on one side of l is equal to one 180° ( second law ) then by Euclid's fifth postulates, the line will not meet on that side of l . Further we know that some of the interior angles on the other side of l is also equal to 180° . Therefore, they will not meet on the other side also. So, line m and l will not intersect each other . Therefore, they are parallel.
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2. Yes , If a straight line l falls on two straight lines m and n such that sum of two interior angle on one side of l is equal to one 180° ( second law ) then by Euclid's fifth postulates, the line will not meet on that side of l . Further we know that some of the interior angles on the other side of l is also equal to 180° . Therefore, they will not meet on the other side also. So, line m and l will not intersect each other . Therefore, they are parallel.
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