Question

Determine the measure of ∠DFB.Question options:1) 67°2) 136°3) 68°4) 69°

Answer 1

Since angle DFB is between arcs BD and EC, we can use the following equation:

$\measuredangle DFB=\frac{BD+EC}{2}$

then, we have the following:

$\begin{gathered} BD=69\degree \\ EC=67\degree \\ \Rightarrow\measuredangle DFB=\frac{69+67}{2}=\frac{136}{2}=68\degree \end{gathered}$

therefore, the measure of angle DFB is 68°