Exterior angles of a triangle
In the applet below, an exterior angle of a triangle is shown.
The pink angle and green angle are referred to as remote interior angles with respect to this exterior angle.
What can you conclude about the measure of an exterior angle of a triangle with respect to its 2 remote interior angles?
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Look at the first applet
What do you notice about the relationship between the remote interior angles to the exterior angle? Would this work for any pair of remote interior and exterior angles?
Look at the second applet:
What do you notice about all three exterior angles? What would their sum be? What if you knew two and not the other?
Can you think of another way to find an exterior if we knew the adjacent interior angle?