Answer:
[tex]\large\boxed{x=53^o}[/tex]
Step-by-step explanation:
We know: the sum of the measures of the angles of the triangle is equal to 180 °.
Therefore e have the equation:
[tex]x+45^o+82^o=180^o[/tex]
[tex]x+127^o=180^o[/tex] subtract 127° from both sides
[tex]x=53°[/tex]