Two angles are supplementary. They have the following measures: m QRS = (x+16) and MSRT = (3x). What is the measure of SRT? (1 point)
Supplementary angles add up to 180 degrees.
Therefore, we can set up the equation:
(x + 16) + (3x) = 180
Combining like terms, we have:
4x + 16 = 180
Subtracting 16 from both sides:
4x = 164
Dividing both sides by 4:
x = 41
To find the measure of SRT, substitute x back into MSRT:
MSRT = 3x = 3(41) = 123 degrees
Therefore, the measure of SRT is 123 degrees.