Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x°. What is the measure of ∠QRS?
Since the two angles are supplementary, their measures add up to 180 degrees.
So, we can write the equation:
(x+40) + x = 180
By combining like terms, we get:
2x + 40 = 180
Subtracting 40 from both sides, we have:
2x = 140
Finally, dividing both sides by 2 gives us:
x = 70
Therefore, the measure of angle QRS is (x+40) = 70 + 40 = <<70+40=110>>110 degrees. Answer: \boxed{110}.