Q23 - Geometry

Question

Name four angles that are adjacent to $\angle FOG$.

Step-by-Step Solution

Answer

The angles adjacent to $\angle FOG$ are $\angle GOH,\angle COF,\angle BOF$ and $\angle AOF$.

Step 1. Apply definition of adjacent angle

The two angles in a plane having a common vertex and a common side but no common interior points are said to be adjacent angles.

Step 2. Observe the figure below and identify the adjacent angles to ∠FOG

From the figure, it can be observed that $\angle GOH,\angle COF,\angle BOF$ and $\angle AOF$ are adjacent to $\angle FOG$.

Step 3. Write the adjacent angles to ∠FOG

The angles adjacent to $\angle FOG$ are $\angle GOH,\angle COF,\angle BOF$ and $\angle AOF$.