Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x°. What is the measure of ∠QRS?(1 point) Responses 180° 180 degrees 25° 25 degrees 70° 70 degrees 110° 110 degrees
If two angles are supplementary, their measures add up to 180 degrees.
Let's call the measure of angle QRS as m. Then, the measure of angle SRT is (180 - m) degrees.
Given that m∠QRS=(x+40)°, we can substitute this expression into the equation above:
x + 40 + (180 - m) = 180
By simplifying this equation, we get:
x + 40 - m = 0
Rearranging it:
x - m = -40
Therefore, the measure of ∠QRS is 40 degrees (as m = 40).
The correct answer is 40°.