Two angles are supplementary and have measures MQRS equals X +40 and MSRT equals X what is the measure of QRS

If two angles are supplementary, their measures add up to 180 degrees. Let's set up an equation using this information:

X + 40 + X = 180

Combining like terms:

2X + 40 = 180

Subtracting 40 from both sides:

2X = 140

Dividing by 2:

X = 70

Since QRS is equal to X + 40, we substitute in the value we found for X:

QRS = 70 + 40

QRS = 110

Therefore, the measure of QRS is 110 degrees.