Two angles are supplementary they have the following measures m qrs=(x+16) degree and m srt=(3x) degree what is the measure of srt
To find the measure of SRT, we need to set up an equation since the angles are supplementary.
According to the problem, the measure of QRS is (x+16) degrees, and the measure of SRT is (3x) degrees.
Since two angles are supplementary, their measures add up to 180 degrees.
So, we have the equation:
(x+16) + (3x) = 180
Combine like terms:
4x + 16 = 180
Subtract 16 from both sides:
4x = 180 - 16
4x = 164
Divide both sides by 4:
x = 164/4
x = 41
Now, substitute the value of x into the measure of SRT:
SRT = 3x
SRT = 3(41)
SRT = 123
Therefore, the measure of SRT is 123 degrees.