Remember that the sum of the internal angles of a triangle is 180 degrees. So we have the following equation:
[tex]x^{\circ}+60^{\circ}+46^{\circ}=180^{\circ}[/tex]this is equivalent to:
[tex]x^{\circ}+106^{\circ}=180^{\circ}[/tex]solve for x:
[tex]x^{\circ}=180^{\circ}-\text{ }106^{\circ}\text{ = 74}^{\circ}[/tex]then, we can conclude that x =74 degrees.