Question: Name the angle in three different ways.
$\angle IJK$ is the angle with vertex $J$ in the top-right/center area, formed by rays $JI$ and $JK$. position_hint: top-right
Select all that apply.
A. $\angle J$
B. $\angle IJK$
C. $\angle KIJ$
D. $\angle IKJ$
E. $\angle KJI$
User: what's the answer
1. The problem asks to name the angle $\angle IJK$ in three different ways.
2. The angle $\angle IJK$ has vertex at point $J$, and is formed by rays $JI$ and $JK$.
3. To name an angle, the vertex point must be the middle letter in the name.
4. Therefore, the correct names must have $J$ as the middle letter.
5. From the options:
- A. $\angle J$ is acceptable as a single-letter angle name.
- B. $\angle IJK$ is correct because $J$ is the vertex.
- C. $\angle KIJ$ is incorrect because $I$ is the vertex here, not $J$.
- D. $\angle IKJ$ is incorrect because $K$ is the vertex here, not $J$.
- E. $\angle KJI$ is correct because $J$ is the vertex.
6. So, the three correct ways to name the angle are:
- $\angle J$
- $\angle IJK$
- $\angle KJI$