Respuesta :

since ∠1 and ∠2 are complementary...they add up to be 90°.

∠1 = (-2x + 54)
∠2 = (8x + 18)              we add these two up
         6x + 72 = 90        subtract 72 from both sides
         6x = 18
         x = 3        place the value of x into the ∠2 equation

(8x + 18) = 8(3) + 18 = 24 + 18 = ∠2 = 42°