Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)
25°
70°
110°
180°
Since two angles are supplementary, their sum is 180 degrees.
Therefore, we have:
(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 correct answer is 110°.