Two angles are supplementary and have measures
and . What
is the measure of ? (1 point)
m∠QRS = (x + 40) ° m∠SRT = x°
∠QRS
25°
70°
110°
180°
Since the two angles are supplementary, their measures add up to 180 degrees.
So, we have:
(x + 40) + x = 180
Combine like terms:
2x + 40 = 180
Subtract 40 from both sides:
2x = 140
Divide both sides by 2:
x = 70
Plug the value of x back into the expression for ∠QRS:
∠QRS = (x + 40) = (70 + 40) = 110 degrees
Therefore, the measure of ∠QRS is 110 degrees.