wo angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)
Responses
110°
110 degrees
70°
70 degrees
25°
25 degrees
180°
180°
The sum of supplementary angles is always 180 degrees. Therefore, the measure of ∠QRS must be 180 - x = 180 - (x + 40) = 180 - x - 40 = 140 - x.
Since ∠SRT = x, we can conclude that ∠QRS = 140 - ∠SRT.
Therefore, the measure of ∠QRS is 140 degrees.