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Answer :

Answer:

  • The value of x is 19.

Step-by-step explanation:

We know that both of these expressions are equal because of vertically opposite angles. Let's solve.

  • => 7x - 8 = 6x + 11
  • => 7x - 6x = 19
  • => x = 19

Hence, the value of x is 19.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

BrainCubego

Answer:

x= 19

Step-by-step explanation:

Recall the Vertical Angles Theorem which states that when two lines intersect, vertical angles are congruent. In this case, 7x-8 and 6x +11 are vertical angles, so they are congruent. We can conclude that an equation can be made to find the value of x where:

[tex]7x-8=6x+11[/tex]

Solve out the equation to find the value of x.

[tex]7x-8+8=6x+11+8[/tex]

[tex]7x=6x+19[/tex]

[tex]7x-6x=6x+19-6x[/tex]

[tex]x=19[/tex]

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