Respuesta :

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to above figure,

Angle PSR = Angle PSQ + Angle RSQ

so,

  • [tex]3x + 18 + 9x - 27 = 99[/tex]

  • [tex]12x - 9 = 99[/tex]

  • [tex]12x = 99 + 9[/tex]

  • [tex]12x = 108[/tex]

  • [tex]x = 108 \div 12[/tex]

  • [tex]x = 9[/tex]

value of x = 9°

now, let's find Angle PSQ :

  • [tex]3x + 18[/tex]

  • [tex](3 \times 9) + 18[/tex]

  • [tex]27 + 18[/tex]

  • [tex]45 \degree[/tex]