1. angles

All the sides of a triangle are segments. How could it have angles then?

As they say an angle is formed by two rays having the same end point...

Can the definition be like this "it is formed by two segments having the same end points.

2. Originally Posted by mamen
All the sides of a triangle are segments. How could it have angles then?
How could we have an angle ?

3. Originally Posted by mamen
As they say an angle is formed by two rays having the same end point...

Can the definition be like this "it is formed by two segments having the same end points.
I don't see why not... as long as you add that 'the length of the segments is irrelevant'.

4. Originally Posted by Raoh
How could we have an angle ?
Angles are formed by two rays and one end point.
Since triangles have segments as its sided, why do they say that it has three angles

5. The answer to the question should now be clear (especially since I have merged some posts from another thread).

Edit: Re-opened for the time being.

6. Originally Posted by mamen
All the sides of a triangle are segments. How could it have angles then?

As they say an angle is formed by two rays having the same end point...

Can the definition be like this "it is formed by two segments having the same end points.
I think you will find this interesting.
A standard theorem in axiomatic geometry is the following.
The union of any two sides of a triangle is a subset of an angle.

7. Originally Posted by Plato
I think you will find this interesting.
A standard theorem in axiomatic geometry is the following.
The union of any two sides of a triangle is a subset of an angle.
thanks

When we say that it is just a subset of an angle, does it mean that it is just a part of angle?

Since it is just a subset of an angle, do you think that I can't consider that as real angle?

If it is a real angle, can I consider the sides of the triangle as the sides of its angles though they are just segments?

8. the sides of a triangle

Are the sides of the triangle considered the sides of its angles?

9. Originally Posted by mamen
Are the sides of the triangle considered the sides of its angles?
sides of triangles are in units like mm, cm or even m.
sides of triangles are in degrees
there is no such a thing as "sides of angles"