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 two angles are supplementary, their measures add up to 180 degrees. Thus:
(x+16) + (3x) = 180
4x + 16 = 180
4x = 180 - 16
4x = 164
x = 164/4
x = 41
Therefore, the measure of ∠SRT is:
3x = 3(41) = 123 degrees.
Answer: ∠SRT = 123°