Answer:
[tex] x = 19 [/tex]
Explanation:
[tex] 22 + (3x + 11) = 90 [/tex] (complementary angles)
Solve for x
[tex] 22 + 3x + 11 = 90 [/tex]
Add like terms
[tex] 33 + 3x = 90 [/tex]
Subtract 33 from each side
[tex] 3x = 90 - 33 [/tex]
[tex] 3x = 57 [/tex]
Divide both sides by 3
[tex] x = \frac{57}{3} [/tex]
[tex] x = 19 [/tex]
