m<KUV =48x + 2, m<TUK =30, and m<TUV = 57x +5. Find x

Eric/Evan/Tosha -- you must be experiencing an identity crisis tonight.

Please use the same name for your posts on Jiskha.

...but we need to see the figure.

To find the value of x, we can set the measures of the angles m<KUV and m<TUV equal to each other and solve for x.

Given:
m<KUV = 48x + 2
m<TUV = 57x + 5

Since these angles are equivalent, we can set them equal to each other:
48x + 2 = 57x + 5

Now, let's solve for x:

1. Start by moving the constants to one side and the x terms to the other side:
48x - 57x = 5 - 2

2. Simplify the expression on both sides:
-9x = 3

3. Divide both sides of the equation by -9 to isolate x:
x = 3 / -9

4. Simplify the fraction:
x = -1/3

Therefore, the value of x is -1/3.