Q6 - Geometry

Question

For the following figure, name the angles have  as the vertex.

Step-by-Step Solution

Answer

The angles have D as the vertex is $\mathbf{\angle }\mathbf{7}\mathbf{,}\mathbf{ }\mathbf{\angle }\mathbf{5}\mathbf{,}\mathbf{ }\mathbf{\angle }\mathbf{6}$.

Step 1. check the figure.

Consider the figure.

Step 2. Apply the concept of angles.

An angle is made by two rays and a common vertex.

Step 3. Step description.

Here ray $\overrightarrow{DE}$ and $\overrightarrow{DC}$ makes an angle $\angle 7$.

The ray $\overrightarrow{DB}$ and $\overrightarrow{DC}$ makes an angle $\angle 6$.

The ray $\overrightarrow{DA}$ and $\overrightarrow{DB}$ makes an angle $\angle 5$.

Therefore, the angle has D as the vertex is  $\angle 6$, $\angle 7,\angle 5$.