what are the angle relationship in geometrical concepts

Question

I'm trying to help my son with his 7th grade homework 

Answer 1

Hi Alexis--

 

As Andrew pointed out, there is the 180 degree rule that covers every triangle.

 

There are similar rules for all polygons. For example, every quadrilateral has angles that add up to 360 degrees.

 

In fact, there's a formula for figuring out the number of degrees in ANY polygon:

 

Degrees = 180 * (s - 2), with s being the number of sides.

 

For example a hexagon has 6 sides, so...

 

180 * (6 - 2)  = 180 * 4 = 720. Every hexagon has 720 degrees.

 

As s increases (meaning "the more sides you have") the more degrees you'll have.

 

Hope this helps.

 

Matt in NY

Answer 2

If you are working with triangles there are 2 elementary relationships involving angles

 

1/ The sum of the measures of internal angles of a triangle is 180 degrees

2/ The longest side is opposite the largest angle...So the angle measures are in the same order as the lengths of their respective opposite sides.

 

I hope this is what you are looking for and not the broad answer.