ook at this diagram:

Question

D
E
F
G
H
I
J
K




























If
EG
and
HJ
are parallel lines and
m
JIF
= 117°, what is
m
EFI
?

Answer 1

To find \( mEFI \), we need to consider the angles created by the parallel lines \( EG \) and \( HJ \) and the transversal line \( FI \).

Since \( EG \) and \( HJ \) are parallel, the alternate interior angles theorem tells us that the angles \( JIF \) and \( EFI \) are alternate interior angles.

Given that: \[ mJIF = 117^\circ \]

We conclude: \[ mEFI = mJIF = 117^\circ \]

Thus: \[ \boxed{117^\circ} \]