Respuesta :

osikbro

Answer:

12

Step-by-step explanation:

Since the two angles are vertical angles, they are congruent and therefore 6x+7=8x-17

2x=24

x=12

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MrRoyal

[tex](6x + 7)^o[/tex] and [tex](8x - 17)^o[/tex] are both vertical angles; so, the value of x is 12.

Let the angles be A and B; such that:

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

[tex]B = 8x -17[/tex]

By theorem of vertical angles

[tex]A = B[/tex]

So, we have:

[tex]6x + 7 = 8x - 17[/tex]

Collect like terms

[tex]8x - 6x = 7 + 17[/tex]

[tex]2x = 24[/tex]

Divide both sides by 2

[tex]x = 12[/tex]

Hence, the value of x is 12.

Read more about vertical angles at:

https://brainly.com/question/24460838

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