Two angles are supplementary and have measures m qrs=(x+40) degree and m srt=x degree what is the measure of qrs
180 degree
70 degree
110 degree
25 degree
The measures of two supplementary angles sum up to 180 degrees.
Therefore, the measure of angle QRS is (x + 40) degrees.
Since the measures of angle SRT and QRS are supplementary, we can write the equation: (x + 40) + x = 180.
Combining like terms, we have: 2x + 40 = 180.
Subtracting 40 from both sides of the equation: 2x = 140.
Dividing both sides of the equation by 2, we get: x = 70.
Therefore, the measure of angle QRS is (70 + 40) degrees = 110 degrees.
So, the correct answer is 110 degree.