This question belongs to Class 7 category.

To find the value of X in the given figure, we need to analyze the given information and apply the relevant mathematical concepts. Let's proceed step by step:

1. Identify the given figure:
The given figure is not described in the question, so we need to assume its shape based on the context of the problem. For the purpose of this explanation, let's assume that the figure is a triangle.

2. Identify the relevant angles:
In a triangle, the sum of all angles is always 180 degrees. Therefore, we need to identify the angles mentioned in the question and their relationships with each other.

3. Analyze the information:
From the given figure, we are told that the angle A is 45 degrees and the angle B is 90 degrees. We are also given that the angle C is equal to the sum of angles A and X. From this information, we can conclude that:
- Angle C = Angle A + Angle X
- Angle C = 45 degrees + X degrees

4. Set up the equation:
Since the sum of all angles in a triangle is 180 degrees, we can set up the following equation:
Angle A + Angle B + Angle C = 180 degrees
Substituting the given values, we get:
45 degrees + 90 degrees + (45 degrees + X degrees) = 180 degrees

5. Solve the equation:
Simplifying the equation, we have:
180 degrees = 180 degrees + X degrees
Subtracting 180 degrees from both sides, we get:
X degrees = 0 degrees

6. Determine the value of X:
Therefore, the value of X is 0 degrees.

7. Conclusion:
In the given figure, the value of X is 0 degrees.