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, they add up to 180 degrees.
So, we have the equation:
(x+16) + (3x) = 180
Combining like terms, we get:
4x + 16 = 180
Subtracting 16 from both sides, we get:
4x = 164
Dividing both sides by 4, we get:
x = 41
Now we can substitute x back into the expression for ∠SRT:
m∠SRT = 3x = 3(41) = 123
Therefore, the measure of ∠SRT is 123 degrees.