Two angles are supplementary. They have the following the following measures; m<QRS=(x+16) and m<SRT=3x,
. What is the measure of <SRT
We know that the sum of two supplementary angles is 180 degrees.
So, we have:
m<QRS + m<SRT = 180
Substituting the given measures, we get:
(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 find the measure of <SRT by substituting x back into the expression for m<SRT:
m<SRT = 3x = 3(41) = 123
Therefore, the measure of <SRT is 123 degrees.