The answer depends on the method used for constructing the second line. But since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
Calculate the slope of the given line. Any line parallel to it will have the same slope.
zero
bcause you have to make it parallell or it's not a segment.
If the given line is ax + by + c = 0then a parallel line is ax + by + d = 0 for any constant d.
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
Show that corresponding angles are congruent?
If the lines have the same slope but with different y intercepts then they are parallel
The Playfair Axiom (or "Parallel Postulate")
By using a protractor which will show that corresponding angles are equal and alternate angles are equal .
Euclid's parallel postulate.
Calculate the slope of the given line. Any line parallel to it will have the same slope.
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
Playfair Axiom
[A Parallel line is a straight line, opposite to another, that do not intersect or meet.] Ie. Line 1 is Parallel to Line 2. ------------------------------------------------- <Line 1 ------------------------------------------------- <Line 2
Parallel straight line equations have the same slope but with different y intercepts
y = 3x+5 is parallel to y = 3x+7