14 pts + brainliest for best answer ∠1 and ∠2 are a linear pair. m∠1=x−33, and m∠2=x+71. find the measure of each angle.

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