Question

1. choose the wrong name for this angle: a) ∠cde b) ∠e c) ∠d d) ∠4

Explanation:

Step1: Recall angle - naming rules

An angle can be named using three points with the vertex in the middle (e.g., $\angle CDE$ where $D$ is the vertex), by a single - letter if the vertex is unique among the angles being considered (e.g., $\angle D$), or by a number assigned to the angle (e.g., $\angle4$).

Step2: Analyze each option

• Option A: $\angle CDE$ is a correct way to name the angle with vertex $D$ and rays $DC$ and $DE$.
• Option B: $\angle E$ is incorrect because $\angle E$ would refer to an angle with vertex $E$, but the vertex of the given angle is $D$.
• Option C: $\angle D$ is a correct way to name the angle since $D$ is the unique vertex in the context of this single angle.
• Option D: $\angle4$ is a correct way to name the angle as it is labeled with the number $4$.

Answer:

B. $\angle E$