in the diagram, which angle is part of a linear pair and part of a vertical pair?\n∠bfc\n∠cfg\n∠gfd\n∠efa
in the diagram, which angle is part of a linear pair and part of a vertical pair?\n∠bfc\n∠cfg\n∠gfd\n∠efa
Answer
Explanation:
Step1: Recall definitions
Linear - pair angles are adjacent and supplementary. Vertical - angles are non - adjacent angles formed by two intersecting lines.
Step2: Analyze each option
- For $\angle BFC$: It may be part of a linear pair but not clearly part of a vertical pair in the given diagram.
- For $\angle CFG$: $\angle CFG$ and $\angle GFD$ form a linear pair (adjacent and sum to 180°). Also, $\angle CFG$ and $\angle AFE$ are vertical angles (non - adjacent, formed by two intersecting lines).
- For $\angle GFD$: It is part of a linear pair with $\angle CFG$ but not part of a vertical pair in an obvious way as required.
- For $\angle EFA$: It may be part of a vertical pair but not clearly part of a linear pair in the given diagram.
Answer:
$\angle CFG$