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 70° 70 degrees 110° 110 degrees
The sum of the measures of two supplementary angles is 180°. So, we can set up an equation:
m∠QRS + m∠SRT = 180°
(x + 40) + x = 180
2x + 40 = 180
2x = 140
x = 70
Therefore, the measure of ∠QRS is (70 + 40) = 110°.
So, the correct answer is 110 degrees.