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.
So, we can set up the equation:
(x+16)° + (3x)° = 180°
Now, we can solve for x:
4x + 16 = 180
4x = 180 - 16
4x = 164
x = 164/4
x = 41
Now, we can substitute the value of x back into the equation to find the measure of angle SRT:
m∠SRT = 3x
m∠SRT = 3(41)
m∠SRT = 123
Therefore, the measure of angle SRT is 123 degrees.