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

As the two lines are parallel, the marked angles (that is 7x + 9 and 9x - 19) forms pair of corresponding angles that are equal ~

So,

Let's equate both angles and find the value of x ~

  • [tex]7x + 9 = 9x - 19[/tex]

  • [tex]9x - 7x = 9 + 19[/tex]

  • [tex]2x = 28[/tex]

  • [tex]x = 28 \div 2[/tex]

  • [tex]x = 14[/tex]

therefore, the value of x is ~ 14

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