Question

For the following figure, name the vertex and sides of the angle $\angle 6$.

Short answer

The vertex of the angle $\angle 6$ is D and the sides of the angle $\angle 6$are $\overrightarrow{\mathbf{D}\mathbf{C}}$ and $\overrightarrow{\mathbf{D}\mathbf{B}}$.

Step-by-step solution

Step 1. check the figure.

Consider the figure.

Step 2. Apply the concept of vertex and sides of the angle.

An angle is formed by two rays which are called the sides of the angle.

The common endpoint of two rays is called the vertex.

Step 3. Step description.

Now, the vertex for the angle $\angle 6$is D.

The side of the angle $\angle 6$is $\overrightarrow{DC}$ and $\overrightarrow{DB}$.

Therefore, the vertex and sides of the angle $\angle 6$are C and $\overrightarrow{DC}$, $\overrightarrow{DB}$respectively.