Answer:
[tex]\huge\boxed{82 \textdegree}[/tex]
Step-by-step explanation:
We know that all angles in a triangle will add up to 180°. Since we know the measure of all 3 angles, we can create this equation:
[tex]31+x+(x-15) = 180[/tex]
Let's solve for x.
Combine like terms:
[tex]31+2x-15=180[/tex]
Add 15 to both sides:
[tex]31+2x=195[/tex]
Subtract 31 from both sides:
[tex]2x=164[/tex]
Divide both sides by 2:
[tex]x= 82[/tex]
So x is 82°.
Hope this helped!
