Answer:
x = 63.43...
Step-by-step explanation:
Ok, so the angle x is the same measure as the bottom right angle of the triangle because the bottom of the triangle and the dashed line are parallel. Knowing this we can simply solve for the bottom right angle and it will be the same as angle x.
To do this we can set up and equation with tangent because we are working with the opposite and adjacent sides of the triangle.
[tex]Tan(x) = \frac{opposite}{adjacent} = \frac{50}{25} = 2[/tex]
[tex]Tan(x)=2\\[/tex]
Now to isolate the variable, we can simply use the cotangent or inverse tangent.
[tex]Tan^{-1}(Tan(x)) = Tan^{-1}(2)\\x = Tan^{-1}(2)\\x = 63.43...[/tex]
