Question

in the diagram, which angle is part of a linear pair and part of a vertical pair? ∠bfc ∠cfg ∠gfd ∠efa

Explanation:

Step1: Recall linear - pair and vertical - pair definitions

A linear pair of angles are adjacent angles whose non - common sides are opposite rays and their sum is 180°. Vertical angles are non - adjacent angles formed by two intersecting lines.

Step2: Analyze ∠BFC

∠BFC does not have a clear linear pair and vertical pair combination as required in the context of the given rays.

Step3: Analyze ∠CFG

∠CFG and ∠DFG form a linear pair (adjacent with non - common sides as opposite rays). Also, ∠CFG and ∠EFB are vertical angles (non - adjacent formed by two intersecting lines).

Step4: Analyze ∠GFD

∠GFD has a linear pair with ∠CFG but its vertical - angle relationships do not meet the requirements as well as ∠CFG's.

Step5: Analyze ∠EFA

∠EFA does not have a proper combination of linear and vertical pair as per the given ray configuration.

Answer:

∠CFG