Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT ?(1 point) m∠SRT= __°
Since the angles are supplementary, the sum of their measures is 180 degrees.
So, we have the equation: (x+16) + (3x) = 180.
Combining like terms: 4x + 16 = 180.
Subtracting 16 from both sides: 4x = 164.
Dividing both sides by 4: x = 41.
Therefore, the measure of ∠SRT is (3x) = 3(41) = <<3*41=123>>123 degrees.
Therefore, m∠SRT = 123°. Answer: \boxed{123}.