To determine how many triangles are in pattern number 80, let’s analyze the problem:

1. Observation:

   • Pattern 1 has 6 triangles.
   • Pattern 2 has 12 triangles.
   • Pattern 3 has 18 triangles.
   • Pattern 4 has 24 triangles.
   • The number of triangles increases by 6 with each pattern.

2. Pattern rule:

   • The number of triangles $T(n)$ in pattern $n$ follows the linear relationship: $T(n) = 6n$

3. Calculating for $n = 80$: Substitute $n = 80$ into the formula: $T(80) = 6 \times 80 = 480$

Thus, pattern number 80 contains 480 triangles.

Would you like further details or clarification on the steps?

Here are five related questions for further exploration:

1. How many hexagons are in pattern number 80?
2. Derive a formula for the total number of shapes (hexagons + triangles) in any pattern $n$.
3. Can you express the relationship between the number of hexagons and triangles in terms of a ratio?
4. If you wanted pattern 80 to contain 600 triangles, how many triangles should be added each step?
5. What is the sum of all triangles up to pattern number $n$?

Tip: When solving pattern-based problems, always check for a consistent difference or ratio to identify the underlying formula!