Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT ?
Since the angles are supplementary, their measures must add up to 180 degrees. So, we can set up 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 angle ∠SRT is:
3x = 3(41) = 123 degrees. Answer: \boxed{123}.