Question

exterior angles of a triangle
http://i.imgur.com/ysUy2pZ.png

So, this one is a tad confusing for me as well. I assume I'm suppose to use the exterior angle of a triangle theorm, but not sure where to start.

Answer 1

@mathstudent55

Answer 2

Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

Answer 3

also, i have some troubles finding the "remote interior angles". I'm not sure where THAT is exactly.

Answer 4

I usually just chose the farthest ones apart.. but sometime its too close for me to determine.

Answer 5

Look at my figure above.

Answer 6

Angles 1, 2, and 3 are the interior angles of the triangle.
Ange 4 is one of the exterior angles of the triangle.

Answer 7

Exterior angle 4 is adjacent to interior angle 2.
Adjacent means "next to". It must be close by.
"Remote" means far away.
For exterior angle 4, interior angles 1 and 3 are the remote interior angles.
Angles 1 and 3 are far away from exterior angle 4.

Answer 8

Now that we understand what remote interior angles are we can understand the theorem.

Answer 9

yes, i undesrtsand now.