Two angles are supplementary and have measures mLQ RS = (x + 40) * and
m/SRT=x what is the measure of QRS?
Since the two angles are supplementary, their measures add up to 180 degrees. Let's use the given information to set up an equation.
Given:
mLQRS = (x + 40)
mSRT = x
The sum of the measures of the two angles is 180 degrees:
mLQRS + mSRT = 180
Substituting the given values:
(x + 40) + x = 180
Combining like terms:
2x + 40 = 180
Subtracting 40 from both sides of the equation:
2x = 140
Dividing both sides by 2:
x = 70
Now that we have the value of x, we can find the measure of QRS:
mLQRS = (x + 40) = (70 + 40) = 110
Therefore, the measure of QRS is 110 degrees.