The value of x is 12.We need to find the value of x, which is the third angle.We know that the other two angles are 78° and 90°. So to find the third one, we set up the following equation:[tex]\sf x + 78+90=180[/tex]Combine like terms:[tex]\sf x+168=180[/tex]Subtract 168 from both sides.[tex]\sf x =180-168[/tex]Simplify.[tex]\sf x=12\textdegree[/tex]