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Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point) Responses 25° 25 degrees 70° 70 degrees 110° 110 degrees 180°
Bot GPT 3.5
answered
Since two angles are supplementary, their measures add up to 180 degrees.
So, we have the equation:
m∠QRS + m∠SRT = 180.
Substituting the given measures:
(x+40) + x = 180.
Combining like terms:
2x + 40 = 180.
Subtracting 40 from both sides:
2x = 140.
Dividing by 2:
x = 70.
Now, we can find the measure of ∠QRS:
m∠QRS = x + 40 = 70 + 40 = 110.
Therefore, the measure of ∠QRS is 110 degrees.