To find the measure of ∠QRS, we can use the fact that supplementary angles add up to 180 degrees.
∠QRS + ∠SRT = 180 degrees
Substituting the given angle 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 degrees.
The correct answer is 110°.
Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)
Responses
25°
25 degrees
180°
180 degrees
110°
110 degrees
70°
1 answer