Question

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

180°
180 degrees

25°
25 degrees

70°
70 degrees

110°

Answer 1

Let's set up the equation for the sum of two supplementary angles:
m∠QRS + m∠SRT = 180 degrees

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

Simplifying:
2x + 40 = 180

Subtracting 40 from both sides:
2x = 140

Dividing by 2:
x = 70

Therefore, the measure of angle ∠QRS is 70 degrees.