https://file.aiquickdraw.com/mathbot/file/1726583509760vxs3fvvd.jpg

In the provided figure, we are tasked with identifying all the line segments and all the angles that are less than \(180^\circ\).

### Line Segments:
From the diagram, there are three points labeled \(O\), \(B\), and \(C\). The line segments are the straight connections between these points:
1. **Line segment OB**: the line connecting points \(O\) and \(B\).
2. **Line segment OC**: the line connecting points \(O\) and \(C\).
3. **Line segment BC**: the line connecting points \(B\) and \(C\).

Thus, the line segments are **OB**, **OC**, and **BC**.

### Angles Less than 180°:
There are two primary angles formed in the figure that are less than \(180^\circ\):
1. **\(\angle BOC\)**: This is the angle formed at point \(O\) between the line segments \(OB\) and \(OC\).
2. **\(\angle OBC\)**: This is the angle formed at point \(B\) between the line segments \(OB\) and \(BC\).
   
Both angles are less than \(180^\circ\).

Would you like further details or explanations? Here are some related questions to deepen understanding:

1. What are complementary and supplementary angles, and how do they relate to angles less than \(180^\circ\)?
2. How do we measure angles in a triangle, and how can we calculate them in this figure?
3. Could this figure form a triangle if the third side, \(BC\), were drawn?
4. How do we know which angles are less than \(180^\circ\) without measuring tools?
5. What is the significance of a straight angle (180°) in geometrical figures?

**Tip:** In a triangle, the sum of all interior angles is always \(180^\circ\).

Identify all the line segments and all the angles less than 180° in the following figure.

Learn how to identify line segments and angles less than 180° in a geometric figure involving points O, B, and C. This problem explores key geometry concepts such as line segments and angle properties, suitable for Grades 6-8 students.

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