Q5 - Geometry

Question

For the following figure, name three angles that have B as the vertex.

Step-by-Step Solution

Answer

The three angles that have B as the vertex are $\mathbf{\angle }\mathit{C}\mathit{B}\mathit{D}\mathbf{,}\mathbf{ }\mathbf{\angle }\mathit{D}\mathit{B}\mathit{A}\mathbf{,}\mathbf{ }\mathbf{\angle }\mathit{C}\mathit{B}\mathit{A}$

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the vertex.

The vertex of an angle is the point where two rays begin or meet, where two line segments join or meet, where two lines intersect, or any appropriate combination of rays, segments and lines that result in two straight "sides" meeting at one place.

Step 3. Step description.

From the figure, it is clear that the three angles $\angle CBD,\angle DBA,\angle CBA$ have the common vertex B.

Therefore, the three angles are $\angle CBD,\angle DBA,\angle CBA$.