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.