Difference Between Alternate Interior And Exterior Angles

A polygon has exactly one internal angle per vertex.

Difference between alternate interior and exterior angles. When two lines are crossed by a transversal the opposite angle pairs on the outside of the lines are alternate exterior angles. Angles 2 and 7 above as well as angles 3 and 6 are examples of alternate interior angles. One way to identify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles.

The measure of each interior angle of an equiangular n gon is. Alternate interior angles angle 3 and angle 5 angle 2 and angle 8 alternate exterior angles angle 1 and angle 7 angle 4 and angle 6 consecutive interior angles or co interior angles angle 2 and angle 5 angle 3 and angle 8 angles made by a transversal to two parallel lines. Exterior angles are measures from the adjacent side to an extended external line from the polygon.

If every internal angle of a simple polygon is less than 180 the polygon is called convex. Interior angles are measures from one side to an adjacent one inside the polygon. If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360.

Learn how to identify corresponding angles alternate interior angles alternate exterior angles and consecutive interior angles in this free math video tut. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. To find exterior angles look in the space above and below the crossed lines.

Interior and exterior angle formulas. We hope you said 1 2 7 and 8 are the exterior angles. In contrast an exterior angle also called an external angle or turning angle is an angle formed by one side of a simple polygon and a line extended from an adjacent side.

To find alternate exterior angles look at that outside space for each crossed line on different sides of the transversal. Alternate angles are on opposite sides of the transversal that cuts the parallel lines and they are either both inside the parallel lines or both outside the parallel lines on the other hand corresponding angles are on the same side of the transversal and one is inside the parallel lines and one is outside the parallel lines. If the two lines are parallel then the alternate exterior angles are congruent.