Two angles are supplementary and have measures m LQ RS = (x + 40) ° and mLSRT = x°
. What is the measure of LQ RS? (1 point)
Since the angles are supplementary, the sum of their measures is 180 degrees.
So, (x + 40) + x = 180 degrees.
Combining like terms, 2x + 40 = 180 degrees.
Subtracting 40 from both sides gives 2x = 140 degrees.
Dividing both sides by 2 gives x = 70 degrees.
Substituting this value back into the expression for LQ RS, we get
m LQ RS = (x + 40) = (70 + 40) = 110 degrees.
Therefore, the measure of LQ RS is 110 degrees. Answer: \boxed{110}.