Respuesta :

calculista

Answer:

[tex]x=22[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The exterior angle is the sum of the 2 opposite interior angles of a triangle

so

In this problem

[tex](6x+1)^o=79^o+(2x+10)^o[/tex]

solve for x

Combine like terms

[tex]6x+1=89+2x[/tex]

Group terms

[tex]6x-2x=89-1[/tex]

[tex]4x=88[/tex]

divide by 4 both sides

[tex]x=22[/tex]

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