Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?
Since two angles are supplementary, their measures add up to 180°. Let's set up an equation to solve for x:
m∠QRS + m∠SRT = 180°
(x + 40)° + x° = 180°
Combine like terms:
2x + 40 = 180
Subtract 40 from both sides:
2x = 140
Divide both sides by 2:
x = 70
The measure of ∠QRS is (x + 40)° = 70° + 40° = 110°.