Two angles are supplementary and have measures m<QRS=(x+40) and m <SRT =x. What is the measure of <QRS?

Answer 1

Since the two angles are supplementary, their measures add up to 180 degrees.
Thus, we have the equation: (x + 40) + x = 180.
Combining like terms, we get: 2x + 40 = 180.
Subtracting 40 from both sides, we have: 2x = 140.
Dividing both sides by 2, we get: x = 70.
Therefore, the measure of angle QRS is: (x + 40) = (70 + 40) = 110 degrees. Answer: \boxed{110}.