The sum of the measures of two complementary angles is 90°. To put it another way, m∠P + m∠Q = 90°.
So, we can substitute the given values of the angles into this equation.
[tex](52)+(3x+2)=90 \\ \\ 3x+54=90 \\ \\ 3x=36 \\ \\ x=12[/tex]
Then, to find m∠Q, we plug in 12 for x for the original expression of Q to get [tex]3(12)+2=38[/tex].
