Remote Interior Angles of an Exterior Angle

Angle DAB is an exterior angle of the triangle. Angles C and B are the remote interior angles of this exterior angle. You can change the triangle by moving the vertices. Explore until you can answer the following questions. Discuss with your partner, then write your final answers (with a diagram!) in your notebook. 1) What is the name and measure of the exterior angle shown in this picture? 2) What is the measure of the remote interior angles of the exterior angle you listed in question one? 3) What do we mean by the remote interior angles of an exterior angle? 4) What is the relationship between the measures of the exterior angle and its two remote interior angles? 5) Why do you think they have this relationship? 6) Are there other exterior angles we could consider? 7) Based on the relationship you found (in question 4) can you guess what the measures of the other exterior angles are?