Two angles are supplementary and have measures m LQRS = (a + 40) ° and m/SRT = x°. What is the measure of ZQRS? (1 point)
0 25°
0 70°
O 110°
O 180°
Since the two angles are supplementary, their measures add up to 180 degrees.
So, m LQRS + m SRT = 180°
(a + 40) + x = 180
To find the measure of ZQRS, we need to find the value of x.
so do it
Yes, let's solve the equation to find the value of x.
(a + 40) + x = 180
Combine like terms:
x = 180 - (a + 40)
x = 180 - a - 40
x = 140 - a
We now have the value of x in terms of a.
To find the measure of ZQRS, we substitute the value of x into the equation:
ZQRS = m LQRS + m SRT
ZQRS = (a + 40) + x
ZQRS = (a + 40) + (140 - a)
ZQRS = 180
Therefore, the measure of ZQRS is 180 degrees.
So, the correct answer is 180°.