A transversal line that cuts through parallel lines creates equal corresponding angles and equal alternate angles
Alternate exterior angles
same side interior
Corresponding angles are equal and are formed when a transversal line cuts through parallel lines
1. Where the angles in a linear pair are supplementry, and if parallel lines are cut by a transversal, then the interior angles are congruent, and if two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel. That's what makes up a linear pair postulate anyway. 2. If two adjacent angle's unshared sides form a straight angle, then they are a linear pair. 3.If two angles form a linear pair,then they are supplementary.
A pair of parallel lines with a transversal will have the following pairs of angles. Alternate , Corresponding, Allied internal, allied external and Vertically Opposite. Unfortunately I cannot draw a diagram on this site in order to show you the positions of these angle - pairs.
corresponding angles
Alternate exterior angles
same side interior
Alternate Exterior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are outside the parallel lines, and on opposite sides of the transversal.
When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and outside the parallel lines, and the angles in each pair are congruent.
Corresponding angles are equal and are formed when a transversal line cuts through parallel lines
They are equal corresponding angles.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
1. Where the angles in a linear pair are supplementry, and if parallel lines are cut by a transversal, then the interior angles are congruent, and if two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel. That's what makes up a linear pair postulate anyway. 2. If two adjacent angle's unshared sides form a straight angle, then they are a linear pair. 3.If two angles form a linear pair,then they are supplementary.
Those are "alternate interior" angles. They're always equal.
A transversal line intersects parallel lines creating various angles.
Yes (assuming all three lines are in the same plane).