Question

use the figure to identify another name for \\( \angle cad \\).
o a) \\( \angle 4, \angle acd \\)
o b) \\( \angle 1, \angle dac \\)
o c) \\( \angle 2, \angle dea \\)
o d) \\( \angle 3, \angle edc \\)

Explanation:

Step1: Recall the naming rules of angles

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

Step2: Analyze each option

• Option A: $\angle4$ and $\angle ACD$ are not the same as $\angle CAD$.
• Option B: $\angle1$ is named by the number at the vertex \(A\), and $\angle DAC$ uses three points \(D - A - C\) with \(A\) as the vertex, which is the same as $\angle CAD$ (just the order of the non - vertex points is reversed, but it still represents the same angle).
• Option C: $\angle2$ and $\angle DEA$ are not related to $\angle CAD$.
• Option D: $\angle3$ and $\angle EDC$ are not related to $\angle CAD$.

Answer:

B. $\angle1,\angle DAC$