Two angles are supplementary and have measures m QRS = (x + 40) and m SRT = x. What is the measure of QRS?
A. 110
B. 25
C. 180
D. 70
Since the two angles are supplementary, their measures add up to 180 degrees.
Therefore, we have the equation:
(x + 40) + x = 180
Combining like terms, we get:
2x + 40 = 180
Subtracting 40 from both sides, we get:
2x = 140
Dividing both sides by 2, we get:
x = 70
Therefore, the measure of QRS is x + 40 = 70 + 40 = 110.
The correct answer is A. 110.