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?

Answer 1

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.