What is the example of alternate interior angles?

The term alternate interior angles is often used when two lines are cut by a third line, a transversal . The Alternate Interior Angles Theorem states that if k and l are parallel , then the pairs of alternate interior angles are congruent . That is, ∠2≅∠8 and ∠3≅∠5 .

What are alternate interior angles examples?

Following the alternate interior angles theorem, if the two streets are parallel, and Maple Avenue is considered to be the transversal, then x and 40° are the alternate interior angles. Hence, both the angles are equal. Therefore, x = 40°. Each pair of alternate interior angles is equal.

What do alternate interior angles look like?

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal. Here AB and CD are two parallel lines crossed by a transversal.

Which angles are alternate interior angles?

Alternate interior angles: The pair of angles 3 and 6 (as well as 4 and 5) are alternate interior angles. These angle pairs are on opposite (alternate) sides of the transversal and are in between (in the interior of) the parallel lines.

What are alternate interior and exterior angles?

Corresponding angles lie in the same position at each intersection. Alternate interior angles lie between the lines cut by the transversal. Alternate exterior angles lie outside the lines cut by the transversal. Alternate exterior angles are supplementary to the adjacent angles.

What is an alternating interior angle?

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?

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.