Look at this diagram:

Question

F
G
H
I
J
K
L
M




























If
GI
and
JL
are parallel lines and
m
IHK
= 126°, what is
m
GHF
?

Answer 1

To find the measure of angle \( mGHF \), we can analyze the information given in the problem.

You have two parallel lines \( GI \) and \( JL \). Given that \( mIHK = 126^\circ \), we can deduce the relation of the angles formed by the transversal.

Since \( GI \) and \( JL \) are parallel, and \( HK \) acts as a transversal, the alternate interior angles theorem applies. This means that:

\[ mIHK = mGHF \]

Therefore, if \( mIHK = 126^\circ \), then:

\[ mGHF = 126^\circ \]

So, the measure of \( mGHF \) is \( 126^\circ \).