[tex]x = 47[/tex]
Step-by-step explanation:
The 3rd interior angle of the triangle can be written as
[tex]\angle{3} = 180 - 45 - x = 135 - x[/tex]
The angle above is supplementary to the angle (2x - 2), therefore
[tex](135 - x) + (2x - 2) = 180 \Rightarrow 133 + x = 180[/tex]
Solving for x, we get
[tex]x = 47[/tex]
