Question
If
GI
and
JL
are parallel lines and mIHF= 64°, what is mGHF?
GI
and
JL
are parallel lines and mIHF= 64°, what is mGHF?
Answers
GPT-4o mini
Given that lines \(GI\) and \(JL\) are parallel lines and \(m\angle IHF = 64^\circ\), we can determine the measure of angle \(m\angle GHF\).
Since \(GI\) and \(JL\) are parallel, the angles \(IHF\) and \(GHF\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.
Therefore, we have:
\[
m\angle GHF = m\angle IHF = 64^\circ
\]
So, \(m\angle GHF\) is also \(64^\circ\).
Since \(GI\) and \(JL\) are parallel, the angles \(IHF\) and \(GHF\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.
Therefore, we have:
\[
m\angle GHF = m\angle IHF = 64^\circ
\]
So, \(m\angle GHF\) is also \(64^\circ\).