Match the number of triangles formed or the interior angle sum to each regular polygon

Let’s match the given numbers to the correct regular polygons:

1. Number of triangles formed is 4: This corresponds to a hexagon. In a hexagon, you can draw 4 triangles by connecting the center to each vertex.

2. Interior angle sum is 1,440°: This corresponds to a dodecagon (12-sided polygon). The formula for the interior angle sum of a polygon is ((n-2) times 180°), where (n) is the number of sides. For a dodecagon, ((12-2) times 180° = 10 times 180° = 1,800°).

3. Interior angle sum is 1,800°: This corresponds to a decagon (10-sided polygon). ((10-2) times 180° = 8 times 180° = 1,440°).

4. Number of triangles formed is 6: This is for a heptagon (7-sided polygon). In a heptagon, you can form 6 triangles by drawing lines from one vertex to each of the non-adjacent vertices.

So the matches are:

– 4 triangles: Hexagon

– 1,440°: Dodecagon

– 1,800°: Decagon

– 6 triangles: