3) How many diagonals can you draw from a single vertex in a 69-sided polygon? Why?

How many triangles do they make?

66 diagonals, 67 triangles

Step-by-step explanation:

triangle - 0 diagonals (3-3), 1 triangle (3-2)

quadrilateral - 1 diagonal (4-3), 2 triangles (4-2)

pentagon 2 diagonal (5-3), 3 triangles (5-2)

hexagon 3 diagonals (6-3), 4 triangles (6-2)

n sides (n-3) diagonals, (n-2) triangles

69 sides 69-3 = 66 diagonals, 69-2 = 67 triangles