Answer:
tan(X) = 1.05
Step-by-step explanation:
The triangles WXY and VTU are similar using the case AA (angle-angle).
The angle X is equal the angle T, therefore they have the same tangent value.
The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:
[tex]tan(T) = UV / UT[/tex]
[tex]tan(T) = 21 / 20 = 1.05[/tex]
[tex]tan(X) = tan(T) = 1.05[/tex]
