To solve the problem of finding the value of (x) in the diagram, we need to apply basic geometric principles. Since the image is not visible, here’s a general approach and common scenarios:

Key Geometric Theorems to Use:

1. Triangle Angle Sum: The sum of angles in a triangle is (180^\circ).
   Example: If a triangle has angles (50^\circ, 70^\circ, x), then (x = 180 - 50 -70 = 60^\circ).

2. Vertical Angles: Opposite angles formed by intersecting lines are equal.
   Example: If one vertical angle is (30^\circ), then (x = 30^\circ).

3. Linear Pair: Angles on a straight line sum to (180^\circ).
   Example: If (x + 120^\circ = 180^\circ), then (x = 60^\circ).

4. Exterior Angle Theorem: An exterior angle of a triangle equals the sum of the two non-adjacent interior angles.
   Example: If exterior angle is (x), and interior angles are (40^\circ) and (50^\circ), then (x = 90^\circ).

Common Answer (Assuming a Typical Scenario):

If the diagram is a triangle with angles (50^\circ, 70^\circ, x), the answer is 60.

If it’s a linear pair with (x + 60^\circ = 180^\circ), the answer is 120.

For a vertical angle problem, (x = 30^\circ) (if the opposite angle is (30^\circ)).

Note: To get the exact answer, please describe the diagram (e.g., triangle, intersecting lines, parallel lines) and the given angles.

Assuming a common triangle scenario, the answer is (\boxed{60}).

(\boxed{60})

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