Answer:
38°
Step-by-step explanation:
In a triagle the sum of all the internal angles must be equal to 180°, so we have to sum 3x-16 and x+6 and x:
[tex]3x-16+x+6+x=180[/tex]
Now we put togehter like terms, this is: we sum the terms with x:
[tex]3x+x+x=5x[/tex]
and the independent terms on the left side:
[tex]-16+6=-10[/tex]
so the equation becomes:
[tex]5x-10=180[/tex]
and we clear for x:
[tex]5x=180+10\\5x=190\\x=190/5\\x=38[/tex]
the value of x is 38°
