A straight angle is an angle of 180 degrees
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straight angle
Any two angles of a triangle determine the third angle. As a result, the side angle angle theorem is equivalent to the angle side angle theorem.
The measure of an exterior angle of a triangle is more than the measure of the intersection of two straight lines.
The Pythagorean theorem is actually the law of cos, where the angle is 90.
It is no more nor less important than any other theorem for congruence.