Linear pair are two angles that are adjacent (share a leg) and supplementary (add up to 180°) .
We have m∠1 = x - 33 and m∠2 = x + 71. Make and solve the equation:
(x - 33) + (x + 71) = 180
(x + x) + (-33 + 71) = 180
2x + 38 = 180 subtract 38 from both sides
2x = 142 divide both sides by 2
x = 71
m∠1 = x - 33 → m∠1 = 71 - 33 = 38
m∠2 = x + 71 → m∠2 = 71 + 71 = 142
Answer: m∠1 = 38° and m∠2 = 142°
