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, their measures must add up to 180 degrees.
Therefore, we have the equation: (x+16) + (3x) = 180.
Combining like terms, we have: 4x + 16 = 180.
Subtracting 16 from both sides, we have: 4x = 164.
Finally, dividing both sides by 4, we have: x = 41.
Plugging this value back into the second angle's measure, we have: m∠SRT = 3x = 3(41) = 123 degrees.
Thus, the measure of ∠SRT is 123 degrees.