Question

1. write three names for each angle.

2.
3.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex point alone if there is only one angle at that vertex. It can also be named using three points where the middle point is the vertex and the other two are points on the rays of the angle. The order of the non - vertex points does not matter when naming with three points.

Step2: Name angles for Question 1

For the angle with vertex $C$, we can name it $\angle BCA$ (with $B$ and $A$ on the rays), $\angle ACB$ (same three points but different order), and $\angle C$ (since $C$ is the only vertex at that location).

Step3: Name angles for Question 2

For the right - angled angle with vertex $G$, we can name it $\angle FGH$ (points on the rays), $\angle HGF$ (reversed order of non - vertex points), and $\angle G$ (as the single vertex name).

Step4: Name angles for Question 3

For the angle with vertex $K$, we can name it $\angle JKL$ (points on the rays), $\angle LKJ$ (reversed order of non - vertex points), and $\angle K$ (as the single vertex name).

Answer:

Question 1:

1. $\angle BCA$
2. $\angle ACB$
3. $\angle C$

Question 2:

1. $\angle FGH$
2. $\angle HGF$
3. $\angle G$

Question 3:

1. $\angle JKL$
2. $\angle LKJ$
3. $\angle K$