To find the measure of QRS, we need to set up an equation using the fact that the two angles are supplementary, meaning they add up to 180 degrees.
m QRS + m SRT = 180
(x + 40) + x = 180
2x + 40 = 180
2x = 140
x = 70
Now that we have found the value of x, we can find the measure of QRS:
m QRS = x + 40
m QRS = 70 + 40
m QRS = 110 degrees
Therefore, the measure of QRS is 110 degrees, so the answer is D. 110 degrees.
Two angles are supplementary and have measures m QRS = (x + 40) degrees and m SRT = x degrees. What is the measure of QRS?
A. 180 degrees
B. 70 degrees
C. 25 degrees
D. 110 degrees
1 answer