Respuesta :

susanwiederspan
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].

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