SOLUTION: How many interior angles does a undecagon have? How many diagonals can be drawn from each vertex of a decagon? How many distinct diagonals does a hexagon have?

Question 202457: How many interior angles does a undecagon have?
How many diagonals can be drawn from each vertex of a decagon?
How many distinct diagonals does a hexagon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many interior angles does a undecagon have?
Google says an undecagon has 11 sides.
So there are 11 interior angles.
-----------------------------------------
How many diagonals can be drawn from each vertex of a decagon?
A decagon has 10 sides.
Pick a vertex.
It has 2 sides going to adjacent vertices.
It can have 10-3= 7 diagonals drawn from the one vertex.
------------------------------------------
How many distinct diagonals does a hexagon have?
A hexagon has seven sides.
Each pair of vertices determines a line segment.
There are 7C2 = 7*6/1*2 = 21 such line sements.
7 of those segments are sides of the hexagon.
There are 21-7 = 14 distinct diagonals.
===============================================
Cheers,
Stan H.

RELATED QUESTIONS
how many diagonals can be drawn from each vertex of a... (answered by solver91311)

Pleaaaaaaase help me! 5. How many diagonals can be drawn from each vertex of a... (answered by Earlsdon)

How many diagonls can be drawn from each vertex of a decagon? (answered by rapaljer)

How many interior angles does an undecagon have? A.) 7 (answered by AnlytcPhil)

How many interior angles does a undecagon have? A. 7 B. 9 C. 11 D. 110 How... (answered by longjonsilver)

6. How many diagonals does a decagon... (answered by derbyman4025)

For each polygon, how many diagonals can be drawn from one vertex? How many different... (answered by solver91311)

How many diagonals can be drawn from one vertex of a 12 sided... (answered by glitzgirl_14)