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

Question

asked Apr 24, 2024 229k views

2 Answers

Himansh · Answer 1 · 2024-04-27T14:40:15+0000

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.

Anup Warnulkar · Answer 2 · 2024-04-28T16:24:07+0000

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

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 ~

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