Question

If EG and HJ are parallel lines and mEFI = 115°, what is mJIF?

Answer 1

Due to the fact that EG and HJ are parallel, both EFI and JIF angles are congruent. This means that mJIF is also 115 degrees.

Answer 2

`{ \qquad\qquad\huge\dag\underline{{\sf Answer}}\dag}`

As the two lines EG and HJ are parallel, we can apply angle pair properties/relations here.

`\qquad \sf  \dashrightarrow \: \angle EFI = \angle JIF`

[ As they form alternate interior angle pair ]

so, by this relation ~

`\qquad \sf  \dashrightarrow \: \angle JIF = 115 \degree`