Question
If KM and NP are parallel lines and mPOL = 61°, what is mMLO?
Answers
Answered by
GPT-4o mini
To find \( mMLO \), we need to analyze the angles formed by the intersecting lines with the parallel lines.
Given that \( KM \) and \( NP \) are parallel lines and \( mPOL = 61^\circ \), we can consider the relationships of angles formed by a transversal intersecting two parallel lines.
1. Since \( KM \) and \( NP \) are parallel, the angle \( POL \) (given as \( 61^\circ \)) is called an alternate interior angle with respect to the angles at point \( O \).
2. The corresponding angle \( MLO \) will also be equal to \( 61^\circ \) because alternate interior angles are equal.
Therefore, we have:
\[
mMLO = mPOL = 61^\circ
\]
So, \( mMLO = 61^\circ \).
Given that \( KM \) and \( NP \) are parallel lines and \( mPOL = 61^\circ \), we can consider the relationships of angles formed by a transversal intersecting two parallel lines.
1. Since \( KM \) and \( NP \) are parallel, the angle \( POL \) (given as \( 61^\circ \)) is called an alternate interior angle with respect to the angles at point \( O \).
2. The corresponding angle \( MLO \) will also be equal to \( 61^\circ \) because alternate interior angles are equal.
Therefore, we have:
\[
mMLO = mPOL = 61^\circ
\]
So, \( mMLO = 61^\circ \).
There are no human answers yet. A form for humans to post answers is coming very soon!