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In this video you will learn two very important theorems about triangles. Not only will you learn the theorems but you will see me prove them. As I walk you through the proofs you will become more comfortable with writing your own proofs in the future. Right now just focus on learning these two concepts.
Ever wondered why there were 180 degrees in every triangle? No matter the size, type, or location of a triangle, the angles always add up to 180 degrees. This video will show you why. This is a theorem you must, must, must learn. Or else....as they say!
Another theorem on this video is the Exterior Angle Theorem. I am proving this theorem for you by writing a formal proof. Watch me, listen carefully, follow the steps. It is intended only to help you get more comfortable with proofs.
The more comfortable you get, the less you will freak out when you have to write a proof of your own. It's coming you know. Better to get all these basics out of the way first!
Work hard!
Lesson Outline:
A. 180 degrees in every triangle. (Demo)
B. The acute angles of a right triangle add to 90.
C. Each angle of an equiangular triangle equals 60 degrees.
D. The base angles of an isosceles triangle are congruent.
E. An exterior angle of a triangle equals the sum of the two remote interior angles. (Proof)
F. Linear Pairs are supplementary.