Respuesta :

DᴀʀᴋPᴀʀᴀᴅᴏx

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

Given values :

Angle 3 = 4x + 20

Angle 5 = 6x + 10

and, we can observe from the figure that if Angle 3 is equal to Angle 5, then line s will be parallel to line r, because they form pair of alternate interior angles.

  • [tex]4x + 20 = 6x + 10[/tex]

  • [tex]6x - 4x = 20 - 10[/tex]

  • [tex]2x = 10[/tex]

  • [tex]x = 5[/tex]

hence, the value of x such that the lines s and r will be parallel to each other is 5

correct choice is : A

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