Answer
a) true
b) false
c) true
Work Step by Step
a) $\overset\longrightarrow {FA}$ and $\overset\longrightarrow {FD}$ are opposite rays. $\overset\longrightarrow {FC}$ and $\overset\longrightarrow {FE}$ are also opposite rays, so $\angle AFE$ and $\angle CFD$ are vertical angles.
b) $m\angle BFC+m\angle DFE=28+118=146$
The sum of the measures is not 180, so the angles are not supplementary.
c) $\angle BFD$ and $\angle AFD$ share vertex F and side $\overset\longrightarrow{FB}$, but have no interior points in common, so they are adjacent.
