Respuesta :

3x+18+9x - 27 = 99
12x - 9 = 99
12x = 108
    x = 9
m<PSQ = 3x + 18
m<PSQ = 3(9) + 18
m<PSQ = 27 + 18
m<PSQ = 45

answer
C. 45

Answer:

PSQ measures 45°

Step-by-step explanation:

if PSR measures 99°

we have:

[tex](3x+18)+(9x-27)=99[/tex]

we isolate x

[tex]3x+9x=99-18+27=108[/tex]

[tex]12x=108[/tex]

[tex]x=9[/tex]

an we replace 9 in

[tex]3x+18[/tex]

[tex]3(9)+18=45[/tex]

PSQ measures 45°