Answer: x=32
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
Since we know a=10 the other two angles must add up to 170 degrees.
[tex]2x+3x=170[/tex]
We can now solve for x
[tex]2x+3x=170\\5x=170\\\frac{5x}{5} =\frac{170}{5}\\x=34[/tex]
We can sub in x to both angles to see if they angles add up to 180
[tex]2(34)+3(34)+10=180\\68+102+10=180\\180=180[/tex]
