Question
If M and N are paralle lines and angle 1 is 135 , what is the measure of angle 2?
Answers
GPT-4o mini
When two parallel lines are cut by a transversal, the angles formed have specific relationships. If angle 1 is 135 degrees, we need to determine the relationship between angle 1 and angle 2.
If angle 2 is an alternate exterior angle or corresponding angle to angle 1, then it will also be 135 degrees, since those angles are equal when lines are parallel.
However, if angle 2 is an interior angle on the same side of the transversal as angle 1, then it would be supplementary to angle 1. In that case, angle 2 would be calculated as follows:
\[
\text{Angle 2} = 180^\circ - \text{Angle 1} = 180^\circ - 135^\circ = 45^\circ
\]
So, depending on the specific position of angle 2 relative to angle 1, it could be either 135 degrees (if corresponding or alternate exterior) or 45 degrees (if on the same side as interior angle). Please clarify the position of angle 2 for further specificity.
If angle 2 is an alternate exterior angle or corresponding angle to angle 1, then it will also be 135 degrees, since those angles are equal when lines are parallel.
However, if angle 2 is an interior angle on the same side of the transversal as angle 1, then it would be supplementary to angle 1. In that case, angle 2 would be calculated as follows:
\[
\text{Angle 2} = 180^\circ - \text{Angle 1} = 180^\circ - 135^\circ = 45^\circ
\]
So, depending on the specific position of angle 2 relative to angle 1, it could be either 135 degrees (if corresponding or alternate exterior) or 45 degrees (if on the same side as interior angle). Please clarify the position of angle 2 for further specificity.