two angles have measures that add to 180 degrees. They have the following angle measures m QRS= (x+40) degrees and m SRT= x degrees. what is the measure of QRS?
Since the sum of the measures of the two angles is 180 degrees, we can set up the equation:
(x + 40) + x = 180.
Combining like terms, we have:
2x + 40 = 180.
Subtracting 40 from both sides, we get:
2x = 140.
Dividing both sides by 2, we get:
x = 70.
Therefore, the measure of QRS is:
m QRS = x + 40 = 70 + 40 = 110 degrees.