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