Two angles supplementary are supplementary and have the measures m<QRS= (x+40) and m<SRT=x what is the measure of <QRS?
The sum of two supplementary angles is 180 degrees. Let's solve for the measure of angle QRS:
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 angle QRS (m<QRS) is x + 40 = 70 + 40 = 110 degrees.