Question

name an angle or angle pair that satisfies each condition. 37. two adjacent angles 38. two vertical angles 39. a linear pair that has vertex f

Explanation:

Step1: Define adjacent angles

Adjacent angles share a common side and a common vertex. In the given figure, $\angle CFB$ and $\angle BFD$ share side $\overrightarrow{FB}$ and vertex $F$.

Step2: Define vertical angles

Vertical angles are non - adjacent angles formed by two intersecting lines. $\angle CFG$ and $\angle DFE$ are vertical angles as they are formed by the intersection of lines $CE$ and $HD$.

Step3: Define linear pair

A linear pair of angles are adjacent angles whose non - common sides are opposite rays. At vertex $F$, $\angle BFD$ and $\angle DFE$ form a linear pair.

Answer:

1. $\angle CFB$ and $\angle BFD$
2. $\angle CFG$ and $\angle DFE$
3. $\angle BFD$ and $\angle DFE$