90= 40+3x+2 90= 42+3x -42 -42 48= 3x 48/3= 16

Answer: x = 16 . ________________________________________________ Another method/approach. Two angles that form a right angle are said to be "complementary"—and must add up to 90°. ________________________________________________ Note: There are two complementary angles shown in the attached diagram. One of these angles is has a given measurement of 40° The other complementary measurement must have a measurement of: What? Since both complementary angles, by definition, must add up to 90° ; and since one of the complementary angles is 40° ; The remaining angle must be: 90 - 40 = 50° . Note, though, in our attached diagram, the measurement given is: 3x + 2 . _________________________________________________ As such, 3x + 2 = 50 . We are asked, in this math problem, to solve for "x" . So, we subtract "2" from each side of the equation: 3x + 2 - 2 = 50 - 2 ; to get: 3x = 48 ; ____________________________________________ Now, we divide EACH SIDE of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ; ____________________________________________ 3x / 3 = 48 / 3 ; to get: x = 16 . ____________________________________________ This is same value for "x" as that of the first "Brainly" member to post the solution. ____________________________________________