When two angles are alternate interior angles, it means they are located on opposite sides of a transversal line and inside a pair of parallel lines. Here's what we can conclude about these angles:
Alternate Interior Angles are Congruent: Alternate interior angles are congruent, which means they have the same measure. In other words, the measure of one angle is equal to the measure of the other angle.
Formed by a Transversal: These angles are formed when a transversal line crosses two parallel lines. The transversal line intersects the parallel lines at different points, creating alternate interior angles.
Equal Measure: If the two parallel lines are parallel lines, the alternate interior angles will have equal measures. This is a consequence of the corresponding angles postulate, which states that when two parallel lines are intersected by a transversal, the pairs of corresponding angles are congruent.
In summary, when two angles are alternate interior angles, you can conclude that they have equal measures, and this relationship holds when the lines they are associated with are parallel.