Question

In the given diagram, name the point(s):

In the interior of the angle $ DOE$ ,In the exterior of the angle $ EOF$ .On angle $ EOF$

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Answer 1

Identify the points:

From the figure, we can see that point $A$ is in between the lines $\overline{OE}$ and $\overline{OD}$ are on, and angle $\angle DOE$ is the angle between them.
Also, we can draw a line from the line that contains $\overline{OE}$ onto the line that contains $\overline{OD}$ such that point $A$ is bounded by the resulting shape.
So, point $A$ is interior to the angle $\angle DOE$.

We also notice that, point $C$ is not in between $\overline{OF}$ and $\overline{OE}$ and angle $\angle EOF$ is the angle between them.
Also, we cannot draw a line from the line that contains $\overline{OE}$ onto the line that contains $\overline{OF}$ such that point $C$ is bounded by the resulting shape.
So, point $C$ is exterior to the angle $\angle EOF$.

We also see that point $B$ is on $\overline{OE}$ which is one of the arms of angle $\angle EOF$.

So, point $B$ is on the angle $\angle EOF$.

Hence,

1. In the interior of the angle $DOE$: Point $A$.
2. In the exterior of the angle $EOF$: Point $A,C$ and $D$.
3. On angle $EOF$: Point $B$.