Two angles are supplementary and have measures mqrs =(x+40) and msrt =x what is the measure of QRS?
110
180
70
25
The sum of supplementary angles is 180 degrees.
Given that the measure of angle MQRS is (x+40) and the measure of angle MSRT is x, we can set up the equation:
(x+40) + x = 180
Combining like terms, we have:
2x + 40 = 180
Subtracting 40 from both sides:
2x = 140
Dividing both sides by 2:
x = 70
Therefore, the measure of angle MSRT is 70 degrees.
To find the measure of angle QRS, we can substitute the value of x back into the equation:
(x+40) = (70 + 40) = 110
Therefore, the measure of angle QRS is 110 degrees. So, the correct answer is 110.