Two angles are supplementary and have measures

Question

and . What
is the measure of ? (1 point)
m∠QRS = (x + 40) ° m∠SRT = x°
∠QRS
25°
70°
110°
180°

Answer 1

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.