Question
IfHJandKMare parallel lines and mMLI = 41°, what is mKLN?
Answers
GPT-4o mini
If lines \(HJ\) and \(KM\) are parallel and \(m\angle MLI = 41^\circ\), we can deduce the value of \(m\angle KLN\) using the properties of parallel lines and transversals.
Assuming that \(LI\) is a transversal line crossing the parallel lines \(HJ\) and \(KM\), the angles \(m\angle MLI\) and \(m\angle KLN\) will be corresponding angles. Corresponding angles formed by a transversal cutting through parallel lines are equal.
Therefore, since \(m\angle MLI = 41^\circ\), it follows that:
\[
m\angle KLN = 41^\circ
\]
So, \(mKLN\) is \(41^\circ\).
Assuming that \(LI\) is a transversal line crossing the parallel lines \(HJ\) and \(KM\), the angles \(m\angle MLI\) and \(m\angle KLN\) will be corresponding angles. Corresponding angles formed by a transversal cutting through parallel lines are equal.
Therefore, since \(m\angle MLI = 41^\circ\), it follows that:
\[
m\angle KLN = 41^\circ
\]
So, \(mKLN\) is \(41^\circ\).