Success and Failure of the
Side Angle Side Method

Side Angle Side (SAS) Triangle method works when the given included angle is less than two right angles or 180 degrees and the give sides lengths are positive.

Example:

The second and third vertices are places at distances S₁ and  S₂ from the angle at A. 

The SAS method may also work 

when the given angle (in figure, 220^o) is greater than two right angles or 180 degrees. The case where the given angle is equal to two right angles (180 degrees) would give a flat triangle with three collinear vertices.

But if we insist (as in accordance with normal practice)  the SAS method only be applied when the angle is less than two right angles, the cases where the given angle is greater than and even equal to two right angles would be excluded. . 

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