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 70° 70 degrees 180° 180 degrees 110°
Since the two angles are supplementary, that means they add up to 180 degrees.
So, the measure of angle QRS can be found by combining the measures of angle QRS and angle SRT:
m∠QRS + m∠SRT = 180°
(x+40) + x = 180
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Therefore, the measure of angle QRS is 70 degrees.