two angles are supplementary and have measures m-angle/QRS = (x + 40) ° and m-angle/SRT = x° what is the angle measure of QRS?

Answer 1

If two angles are supplementary, their measures sum up to 180 degrees. Therefore, we have:

m-angle/QRS + m-angle/SRT = 180 degrees

Substituting the given angle measures, we have:

(x + 40)° + x° = 180°

Combining like terms, we get:

2x + 40 = 180

Solving for x, we subtract 40 from both sides:

2x = 140

Dividing both sides by 2, we find:

x = 70

So, the measure of angle QRS is:

m-angle/QRS = x + 40 = 70 + 40 = 110 degrees