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]
