Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)Responses70° 70 degrees110°110 degrees25° 25 degrees180°
The measures of two supplementary angles always add up to 180 degrees. Since m∠QRS = (x+40)° and m∠SRT = x°, we can set up the equation:
(x+40) + x = 180
Simplifying, we get:
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 answer is: 110°.