Question

Look at this diagram:If EG and HJ are parallel lines and mZJIK = 1340, what is mZEFI?

Answer 1

Angles JIK and GFI are correspondidng angles (cogruent angles)

`\begin{gathered} m\angle JIK=m\angle GFI \\ \\ m\angle GFI=134º \end{gathered}`

Angles GFI and EFI are supplementary angles (sum up to 180º):

`\begin{gathered} m\angle\text{EFI}+m\angle GFI=180º \\ m\angle\text{EFI}=180º-m\angle GFI \\ m\angle EFI=180º-134º \\ \\ m\angle EFI=46º \end{gathered}`

Then, the measure of angle EFI is 46º