Chapter 1.4, Problem 23CE

To determine

To find: The name of four angles that are adjacent to $\angle FOG$

Answer to Problem 23CE

The angles adjacent to $\angle FOG\text{are}\angle GOH,\angle COF,\angle BOF\text{and}\angle AOF$

Explanation of Solution

Given information:

  

Formula used:

Adjacent angles are two angles in a plane that have a common vertex and a common side out no common interior points.

Calculation:

Consider the definition Adjacent angles:

Adjacent angles are two angles in a plane that have a common vertex and a common side out no common interior points.

The figure can be drawn as shown below;

  

From the above figure;

It can be observe that $\angle GOH,\angle COF,\angle BOFand\angle AOF\text{are}\text{adjacent}\text{to}\angle FOG$

Therefore, angles adjacent to $\angle FOG\text{are}\angle GOH,\angle COF,\angle BOF\text{and}\angle AOF$ .

Conclusion:

The angles adjacent to $\angle FOG\text{are}\angle GOH,\angle COF,\angle BOF\text{and}\angle AOF$