SOLUTION: Pleaaaaaaase help me! 5. How many diagonals can be drawn from each vertex of a decagon? 6. How many distinct diagonals does a hexagon have? 7. Calculate the sum of the

Question 148644: Pleaaaaaaase help me!

5. How many diagonals can be drawn from each vertex of a decagon?
6. How many distinct diagonals does a hexagon have?
7. Calculate the sum of the interior angles of a convex hexagon.
8. Calculate the sum of the interior angles of a convex 40-gon.
9. If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260�.

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
5) The number of diagonals that can be drawn from each vertex of an n-sided polygon (n = 10 in a decagon) is (n-3) = 10-3 = 7
6) The number of distinct diagonals (d) that can be drawn in a polygon of n sides is: . In a hexagon (a 6-sided polygon), n = 6, so...

7) The sum of the interior angles of a polygon is:
degrees. In a hexagon, n = 6, so...

degrees.
8) The sum of the interior angles of a 40-gon is:

degrees.
9) The sum of the interior angles is:
and this is given as 1260 degrees, so...
Divide both sides by 180.
Add 2 to both sides.
This is a nonagon.
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