The sum of the interior angles of a triangle is equal to 180 degrees.
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if any two angles are similar the triangle will be similar
The sum of the three angles is 180 degrees. There are other relationships that can be derived from this.
There are three angles in a triangle but to measure them you would use a protractor.
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
They total 90o