Given
To find the value of x.
Now,
By the external angle sum property of triangle, we have,
[tex](4x+2)\degree+(2x-9)\degree=5x+13\degree[/tex]
That implies,
[tex]\begin{gathered} 4x+2+2x-9=5x+13 \\ 6x-7=5x+13 \\ 6x-5x=13+7 \\ x=20\degree \end{gathered}[/tex]
Hence, the value of x is 20 degrees.
