Question

name the angle in three kinds of notation.
select all that apply.
a. ∠ikj
b. ∠kjj
c. ∠j
d. ∠x
e. ∠ijk or ∠kji

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex (if there is only one angle at that vertex), by three points (with the vertex in the middle), or by a label (a number or a letter) inside the angle.

1. Naming by vertex:

• Since there is only one angle at vertex \(J\), we can name the angle \(\angle J\).

1. Naming by three - point notation:

• The vertex is \(J\), and the other two points on the sides of the angle are \(I\) and \(K\). So, we can name the angle as \(\angle IJK\) or \(\angle KJI\) (the order of the non - vertex points can be reversed as long as the vertex is in the middle).

1. Naming by label:

• The angle is labeled as \(x\) inside the angle, so we can name it \(\angle x\).

Answer:

C. \(\angle J\), D. \(\angle x\), E. \(\angle IJK\) or \(\angle KJI\)