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The image shows a geometric diagram and asks to find the value of an unknown angle labeled as "x". From the diagram, we can observe:

1. Two intersecting lines, with the vertex at the intersection labeled with some known angles.
2. One angle of 140° is marked.
3. Another angle of 70° is marked.
4. A third angle is labeled as "x", which seems to be part of a triangle formed by these angles.

### Let's approach the problem:
1. The 140° angle seems to be an exterior angle on the left side.
2. The angle next to 70° appears to be supplementary, meaning they are on a straight line.
3. We can apply angle properties like the supplementary angles and sum of angles in a triangle to determine the value of the unknown angle "x".

### Solving the problem:
- The angle next to 70° and "x" on the right seems to form a straight line. The sum of angles on a straight line is 180°.
- Using this, we can find "x".

Let me proceed with the calculations.The value of the unknown angle \( x \) is \( 110^\circ \).

Would you like further clarification on how the calculation was done or any additional details?

Here are five follow-up questions related to this problem:
1. How do supplementary angles work in a geometric figure?
2. What are the properties of angles on a straight line?
3. How can we verify the sum of angles in a triangle?
4. Can exterior angles help in solving similar problems?
5. What other geometric rules can be applied to intersecting lines?

**Tip**: Always remember that the sum of angles on a straight line is 180°, which is key when dealing with supplementary angles.

Find the value of the unknown angle x based on the given geometric diagram.

Learn how to find the value of the unknown angle x using key geometric concepts such as supplementary angles and the sum of angles in a triangle. This problem demonstrates step-by-step reasoning and solutions, ideal for students in Grades 7-9.

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