Question

select the correct answers. if an angle is represented with three numbers: 9,8, and 7 and 9 is the origin of the two rays, which of the followings are be the angles names.
a /9
b /9,8,7
c /8,9,7
d /7,9,8
e /7,8,9

Explanation:

Step1: Recall the angle - naming rule

An angle can be named using three points (or numbers representing points) with the vertex (origin of the two rays) in the middle.

Step2: Analyze each option

• Option A: \(\angle9\) is a valid name when we name an angle by its vertex.
• Option B: \(\angle9,8,7\) has the vertex \(9\) not in the middle, so it is incorrect.
• Option C: \(\angle8,9,7\) has the vertex \(9\) in the middle.
• Option D: \(\angle7,9,8\) has the vertex \(9\) in the middle.
• Option E: \(\angle7,8,9\) has the vertex \(8\) (not the given vertex \(9\)) in the middle, so it is incorrect.

Answer:

A. \(\angle9\), C. \(\angle8,9,7\), D. \(\angle7,9,8\)