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Since the angles are supplementary, their measures must add up to 180 degrees.
So, we have the equation: (x+16) + (3x) = 180
Combining like terms, we get: 4x + 16 = 180
Subtracting 16 from both sides: 4x = 164
Dividing both sides by 4: x = 41
Therefore, the measure of <SRT (3x) is: 3(41) = 123 degrees.