Question

In the accompanying diagram AB || CD and FG bisects ∠EFD. IF m∠EFG = x and m∠FEG = 4x, find x.

Answer 1

In the figure,

We have for two parallel lines cut by a transversal, we have,

Therefore, we can write, since

`\begin{gathered} 4x+2x=180 \\ 6x=180 \\ x=(180)/(6)=30 \end{gathered}`