If angle 2=3x +1 and angle 3=2x +4
what is angle 2

Answer:
∠2 = 52°
Step-by-step explanation:
Since 1 angle = 90° then the sum of the other 2 angles = 90°, that is
∠2 + ∠3 = 90 ← substitute values
3x + 1 + 2x + 4 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Hence
∠2 = 3x + 1 = (3 × 17) + 1 = 51 + 1 = 52°