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

Answer 1

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.