What Are Alternate Interior Angles In Math

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.

What are alternate interior angles in math. Alternate interior angles are created where a transversal crosses two usually parallel lines. In the figure below the two angles are called alternate angles because they are on opposite sides of the sloping transversal line. They are interior and also on different alternative sides of the red transversal line.

Notice that the two alternate interior angles shown are equal in measure if the lines pq and rs are parallel. The transversal crosses through the two lines which are coplanar at separate points. Angles 3 and 6 are also alternate interior angles.

Alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. What is the alternate interior angles theorem. Alternate interior angles are nonadjacent interior angles on opposite sides of the transversal they are the equal alternate angles that lie on the transversal line that passes through parallel lines.

Based on the position of the angles the alternate angles are classified into two types namely alternate interior angles alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. So there are actually two pairs. C and f are alternate interior angles.

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal then each pair of alternate interior angles is congruent. Such angles are located between the two parallel lines but on opposite sides of the transversal creating two pairs which are equal to total four numbers of alternate interior angles. They lie on the inner side of the parallel lines but the opposite sides of the transversal.

Each pair of these angles are inside the parallel lines and on opposite sides of the transversal. An angle formed by a transversal intersecting two parallel lines is known as an alternate interior angle. Such angles are congruent meaning they have equal measure.