The angles of the triangle are given as 45 degrees, 2x degrees, and x degrees.
According to the Angles Sum Property, the sum of the 3 interior angles of a triangle is 180 degrees,
[tex]\begin{gathered} x+2x+45=180 \\ 3x+45=180 \\ 3x=180-45 \\ 3x=135 \\ x=45 \end{gathered}[/tex]
Thus, the value os 'x' is 45.
