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This question requires drawing three lines intersecting at a single point, which will create six angles around that intersection. Here’s how to approach it:

1. **Draw Three Intersecting Lines**: Start by drawing three lines that meet at a single point. This will form a shape resembling a starburst, creating six distinct angles around the intersection.

2. **Label Two of the Angles**: Choose two angles that are directly opposite each other. Let’s label one of these angles as \( A \) and the angle directly opposite it as \( B \). Typically, the sum of the angles around a point is \( 360^\circ \).

3. **Calculate the Other Angles Using Known Relationships**:
   - Since each pair of opposite angles are equal (these are called vertical angles), if you know the measures of two angles, the other four angles can be deduced.
   - If, for instance, \( A = 60^\circ \) and \( B = 120^\circ \), then their opposite angles will also be \( 60^\circ \) and \( 120^\circ \).

4. **Explanation for Choosing Labels**:
   - The reason for choosing two opposite angles to label is that knowing one angle allows us to determine the opposite angle due to the property of vertical angles.
   - Additionally, knowing two angles around a point helps in determining all others by subtraction from \( 360^\circ \) and dividing if necessary.

Would you like further details on calculating or visualizing this process?

Here are some related questions:
1. What is the sum of the angles formed around a point of intersection?
2. How do vertical angles relate to each other?
3. If you know only one angle around a point, can you determine all other angles?
4. How does the concept of supplementary angles apply here?
5. Why is it efficient to label two opposite angles in such problems?

**Tip**: Remember that angles opposite each other at an intersection are always equal, which can simplify solving for unknown angles.

Draw three lines all intersecting at the same point. Label two of the angle measures so that you can find the remaining four angle measures.

Learn how to determine angle measures when three lines intersect at a single point. This problem explores key geometry concepts, including vertical angles and angle sums around a point. Ideal for Grades 7-9 students.

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