Are Same Side Interior Angles Congruent Or Supplementary

If lines are parallel then corresponding angles are congruent alternate interior angles are congruent and alternate exterior angles are congruent.

Are same side interior angles congruent or supplementary. When the two lines intersected by the transversal are parallel corresponding angles are congruent alternate interior angles are congruent alternate exterior angles are congruent and consecutive. Identify the relationship of the shown pair of angles as either congruent or supplementary. Alternate interior angles alternate exterior angles corresponding angles same side interior angles supplementary.

Also the angles 4 and 6 are consecutive interior angles. And here are the two theorems about supplementary angles that work exactly the same way as the two complementary angle theorems. Same side interior angles are supplementary.

This is the three angle version. Consecutive interior angles theorem. They are not always congruent but in a regular polygon adjacent angles are congruent.

If lines are parallel then same side interior angles are supplementary and same side exterior angles are supplementary. Interior and exterior regions we divide the areas created by the parallel lines into an interior area and the exterior ones. Same side interior angles theorem.

When a transversal cuts or intersects parallel lines several pairs of congruent and supplementary angles are formed. When two parallel lines are intersected by a transversal same side interior between the parallel lines and same side exterior outside the parallel lines angles are formed. In the figure the angles 3 and 5 are consecutive interior angles.

If two parallel lines are cut by a transversal then the same side interior angles are supplementary. If then. Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary same side angles are supplementary.