Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT
Since two angles are supplementary, their measures add up to 180 degrees. Thus, we can set up the equation:
(x + 16) + (3x) = 180
Combining like terms, we get:
4x + 16 = 180
Subtracting 16 from both sides, we have:
4x = 164
Dividing both sides by 4, we get:
x = 41
Therefore, the measure of ∠SRT is 3x = 3(41) = 123 degrees.