Two angles are supplementary and have measures m QRS = (x + 40) and m SRT = x. What is the measure of QRS?

A. 110

B. 25

C. 180

D. 70

1 answer

Since the two angles are supplementary, their measures add up to 180 degrees.

Therefore, we have the equation:
(x + 40) + x = 180

Combining like terms, we get:
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 x + 40 = 70 + 40 = 110.

The correct answer is A. 110.