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

Respuesta :

Answer:

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