Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x°. What is the measure of ∠QRS?(1 point)
Since two angles are supplementary, their measures add up to 180 degrees. So we have:
m∠QRS + m∠SRT = 180°
(x+40) + x = 180
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Therefore, the measure of ∠QRS is:
m∠QRS = (x+40)° = 70 + 40 = 110°