To find the measure of ∠QRS, we can use the fact that supplementary angles add up to 180°.
Since ∠QRS and ∠SRT are supplementary, we can set up the equation:
(x + 40)° + x° = 180°
Combining like terms, we have:
2x + 40° = 180°
Next, we can isolate 2x by subtracting 40° from both sides:
2x = 140°
Finally, we can solve for x by dividing both sides by 2:
x = 70°
Therefore, the measure of ∠QRS is (x + 40)° = 70° + 40° = 110°.
So the correct answer is 110°.
Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)
Responses
110°
110 degrees
180°
180 degrees
25°
25 degrees
70°
1 answer