Final answer:
The value of x that makes the horizontal parts of the letter Z parallel is 25 degrees, determined by setting the two expressions for the angles equal to each other and solving for x.
Step-by-step explanation:
The question is asking for the value of x that makes the horizontal parts of the letter Z parallel. In geometry, particularly when dealing with parallel lines and angles, the angles of parallel lines will be equal due to the properties of parallelism and transversal lines.
Given the two expressions for the angles (X + 25) degrees and 2X degrees, these must be equal for the lines to be parallel. Setting them equal to each other gives us an equation: X + 25 = 2X. Solving for X, we get X = 25 degrees. Therefore, when x is 25, the horizontal parts of the letter Z will be parallel.