Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)

Question

Responses

25°
25 degrees

70°
70 degrees

180°
180 degrees

110°

Answer 1

Let's use the fact that supplementary angles add up to 180 degrees.

Since ∠QRS and ∠SRT are supplementary, we can write the equation:
m∠QRS + m∠SRT = 180 degrees

Substituting the given measures:
(x + 40)° + x° = 180°

Combining like terms:
2x + 40° = 180°

Subtracting 40° from both sides:
2x = 140°

Dividing both sides by 2:
x = 70°

Therefore, the measure of ∠QRS is (x + 40)° = 70° + 40° = 110°.

The answer is 110°.