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Answer:
a There are n-3 diagonals from each vertex.
b The diagonals from each vertex divide the polygon into n-2 triangles.
c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.
Step-by-step explanation:
You can check to see which answers are true for a 3-sided or 4-sided regular polygon (a triangle or square).
triangle: 3 sides, 0 diagonals, 1 triangle 60-degree angles
square: 4 sides, 1 diagonal, 2 triangles, 90-degree angles
The statements that are true for our test cases are ...
a There are n-3 diagonals from each vertex.
b The diagonals from each vertex divide the polygon into n-2 triangles.
c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.