Question

I NEED HELP PLEASE
name each angle in as many different ways as possible

Answer 1

4 Answers:

• 
  `\angle JLG`
• 
  `\angle GLJ`
• 
  `\angle 2`
• 
  `\angle L` (see note below)

========================================

Step-by-step explanation:

To name an angle, we list 3 points on the angle such that the middle point is the vertex of the angle. The vertex is where the two rays are joined (at the endpoints).

So we could say "angle JLG" as you wrote in the first box, or we could say "angle GLJ". This is the same because L is in the middle each time. So the order doesn't matter as long as L is in the middle.

The third way to name this angle is to say "angle 2" or
`\angle 2` for short.

Another way to write this angle is to name it by the vertex point alone.

----------------------

Note: In this case, saying "angle L" is enough info to be able to pinpoint the proper angle. Though in general this naming convention is very limited. If we had other rays attached to point L (say ray LH where point H is not on any of the two rays shown), then writing "angle L" is ambiguous. So keep this in mind.