Same Side Exterior Angles

Exterior angles are created where a transversal crosses two usually parallel lines. Now there are theorems that states that if a transversal line intersects two parallel lines then the same side interior and same side exterior are supplementary.

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Same side tells us that both angles are on the same side of the transversal line and exterior tells us that both angles are exterior or outside of the parallel lines.

Same side exterior angles. Although they are both exterior angles each angle is on a different side of the red line transversal. Angles 3 and 6 indicated in pink are same side interior angles. Exterior angles of a transversal.

Notice that the two exterior angles shown are supplementary add to 180 if the lines pq and rs are parallel. Each pair of these angles are outside the parallel lines and on the same side of the transversal. Angles 4 and 5 indicated in green are also same side interior angles.

This exclusive worksheet presents nine questions wherein the measure of an exterior angle is depicted and another angle is indicated for practice. And line t is the transversal line intersecting lines a. Let s think of the parallel.

Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary same side angles are supplementary. 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. Try this drag an orange dot at a or b.

Therefore they are not same side exterior. Two pairs of same side exterior angles and alternate exterior angles are formed when parallel lines are cut by a transversal.

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