This is my work so far but i believe i’m doing it wrong. i have to, “solve for x in the diagram”. need asap

You almost got it right

Supplementary angles, angles whose sum 180°
∠UTV + 90° = 180°
∠UTV = 180° - 90°
∠UTV = 90°

Exterior angle of a triangle, an angle formed from the extension of a side on the triangle and equals to the sum of the opposite interior angles
∠UVS = ∠UTV + ∠TUV
x + 8 = 90 + 64
x + 8 = 154
x + 8 - 8 = 154 - 8
x = 146

The value of x is 146

X + 8 = 60 + 94.

This is geometrically correct, now you must solve the algebra portion.

60 + 94 is just 154, which means x + 8 = 154.

What number + 8 = 154? It must be 146.

Idon't take stuff like this new to me