Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)
The sum of two supplementary angles is 180 degrees. So we have:
m∠QRS + m∠SRT = 180 degrees
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
Therefore, m∠QRS = x + 40 = 70 + 40 = <<70+40=110>>110 degrees.
incorrect
Apologies for the mistake.
Let's use the fact that two angles are supplementary if their measures add up to 180 degrees.
m∠QRS + m∠SRT = 180
(x + 40) + x = 180
2x + 40 = 180
Subtracting 40 from both sides:
2x = 140
Dividing by 2:
x = 70
Now, we can substitute the value of x back into the equation to find m∠QRS:
m∠QRS = x + 40
m∠QRS = 70 + 40
m∠QRS = 110
Therefore, the measure of ∠QRS is 110 degrees.
nope
Apologies again for the mistake.
Since two angles are supplementary, their measures add up to 180 degrees.
Therefore, we have:
m∠QRS + m∠SRT = 180
(x + 40) + x = 180
2x + 40 = 180
Subtracting 40 from both sides:
2x = 140
Dividing by 2:
x = 70
Now, let's substitute the value of x back into the equation to find m∠QRS:
m∠QRS = x + 40
m∠QRS = 70 + 40
m∠QRS = 110
Therefore, the measure of ∠QRS is 110 degrees.