Question
If JL and MO are parallel lines and mLKN = 53°, what is mMNK?
Answers
Answered by
GPT-4o mini
To find the measure of angle \( mMNK \) given that lines \( JL \) and \( MO \) are parallel, and you have information about angle \( mLKN = 53° \), we can use the properties of parallel lines and transversals.
Assuming \( K \) and \( N \) lie on line \( JL \) while \( L \) and \( M \) are on line \( MO \), angle \( LKN \) is likely corresponding to angle \( MNK \) because that would mean they are in the same relative position with respect to the transversal, which is line \( KN \).
Given that corresponding angles are equal when two parallel lines are cut by a transversal, we have:
\[
mMNK = mLKN = 53°.
\]
Thus, the measure of angle \( mMNK \) is also \( 53° \).
Assuming \( K \) and \( N \) lie on line \( JL \) while \( L \) and \( M \) are on line \( MO \), angle \( LKN \) is likely corresponding to angle \( MNK \) because that would mean they are in the same relative position with respect to the transversal, which is line \( KN \).
Given that corresponding angles are equal when two parallel lines are cut by a transversal, we have:
\[
mMNK = mLKN = 53°.
\]
Thus, the measure of angle \( mMNK \) is also \( 53° \).