Answer: In the given scenario, the vertical angles are the angles formed by the intersecting lines.
To identify the vertical angles, we need to look for the pairs of angles that are opposite each other when two lines intersect.
In this case, we have the following lines and points:
- Line AFD with points A, F, and D.
- Line BFE with points B, F, and E.
- Line FC, which extends from point F to point C within angle BFD.
The vertical angles in this scenario are:
1. Angle AFD and angle CFE: These angles are formed by the intersection of lines AFD and BFE. They are opposite each other and share the common vertex F.
2. Angle BFD and angle EFC: These angles are also formed by the intersection of lines AFD and BFE. They are opposite each other and share the common vertex F.
So, the vertical angles in this scenario are angle AFD and angle CFE, as well as angle BFD and angle EFC.
Remember, vertical angles are always congruent (have equal measures) because they are formed by intersecting lines.
Explanation: