Question

which angles are supplementary to ∠afb? select all that apply. ∠bfc ∠afc ∠bfd ∠cfd

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees.

Step2: Analyze angle - pairs at point F

At point F, \(\angle AFB+\angle BFC = 180^{\circ}\) (linear - pair of angles). Also, \(\angle AFB+\angle AFD=180^{\circ}\) (since a full - rotation around point F is 360 degrees and the vertical angles are equal). And \(\angle AFD=\angle BFC\) (vertical angles). Also, \(\angle AFB+\angle CFD = 180^{\circ}\) (because of the angle relationships formed by the intersecting lines at F). And \(\angle AFB+\angle BFD = 180^{\circ}\) (angle addition around point F).

Answer:

\(\angle BFC,\angle AFC,\angle BFD,\angle CFD\)