Same Side Interior Angles Theorem Examples

They lie on the inner side of the parallel lines but the opposite sides of the transversal.

Same side interior angles theorem examples. Alternate interior angles alternate exterior angles relationships of various types of paired angles proof of the alternate interior angle theorem proof of the converse of the alternate interior angle theorem proof of the alternate exterior angle theorem proof of the converse of the alternate exterior angle theorem examples and step by step solutions how to solve for x using alternate. Here the angles 1 2 3 and 4 are interior angles. The transversal crosses through the two lines which are coplanar at separate points.

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. If then. Same side interior angles are two angles that are on the same side of the transversal and on the interior of between the two lines.

1 lines a and b are parallel because the same side interior angles are supplementary. The following figures give the some examples of co interior angles. The same side interior angles theorem states that same side interior angles are supplementary.

Same side interior angles theorem. Well same side interior angles would be 4 and 5 so notice we have parallel lines and the transversal. In the above figure l1 l 1 and l2 l 2 are parallel and l l is the transversal.

So if two parallel lines are intersected by a transversal then same side i ll say interior since this is in between angles are supplementary. 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. If two parallel lines are cut by a transversal then the same side interior angles are supplementary.

When two lines are crossed by another line called the transversal 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. 111 69 180.