Find the value of X:

Given: segment RS is congruent to segement ST, measure angle RST = 7x-54, measure angle STU = 8x

7x-54+180-8x+180-8x=180

The answer comes out to 14.

thanks Dylan!!!

thx ._.

thanks @Dylan

To find the value of x, we need to use the fact that corresponding angles of congruent line segments are congruent. We also know that the angles in a triangle sum up to 180 degrees. Here is how we can solve for x:

1. Set up an equation for the congruent angles:
Since segment RS is congruent to segment ST, the measures of angles RST and STU must be equal:
7x - 54 = 8x

2. Simplify the equation:
Subtracting 7x from both sides of the equation gives:
-54 = x

3. Solve for x:
Adding 54 to both sides of the equation gives:
0 = x + 54

Thus, the value of x is -54.

Note: Please double-check the problem statement and make sure there are no mistakes in the given information.

how do you set it up?

What do line lengths have to do with the angle?

Where is U?

Do a little proofreading, eh?