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
110°
110 degrees
70°
To find the measure of ∠QRS, we need to add the measures of ∠QRS and ∠SRT because they are supplementary angles.
So, m∠QRST = m∠QRS + m∠SRT.
Substituting in the given values, we have (x+40) + x = 180.
Combining like terms, we get 2x + 40 = 180.
Subtracting 40 from both sides, we have 2x = 140.
Dividing both sides by 2, we get x = 70.
Therefore, the measure of ∠QRS is (x+40) = (70+40) = 110 degrees.
So, the correct answer is 110°.