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To find the smallest angle of the triangle, we need to identify the smallest numerical value amongst the given angle measures.
If we let x represent the second angle, we have:
96°, 2x, x+12°
To determine which value is smallest, we consider the possible values of x.
If x is equal to 0, then the second angle is 0°, which is smaller than 96° and x+12°.
Therefore, the measure of the smallest angle of the triangle is 0°.