Congruent Alternate Interior Angles Example

Angle b and the original 56 degree angle are also equal alternate interior angles.

Congruent alternate interior angles example. So in the figure below if k l then 2 8 and 3 5. Alternate interior angle theorem the alternate interior angles theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent. In this example these are two pairs of alternate interior angles.

N 60 o implies m 60 o because m and n are alternate interior angles and so they are congruent. Alternate interior angles theorem. D and 60 are vertical angles.

A d and b c. 1 8 2 7. 120 o n 180 o straight angle step 2.

L a r is an alternate interior angle with a r n i a r is an alternate interior angle with a r o. This time we can use the alternate exterior angles theorem to state that the alternate exterior angles are congruent. Therefore the alternate angles inside the parallel lines will be equal.

When two lines are crossed by another line called the transversal. So by the alternate interior. 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.

N 60 o solve for n step 3. Therefore c b 120. D and e are alternate interior angles.