If M and N are parallel and angle 1 is 135° , what is the measure of angle 2?
If M and N are parallel lines, then angle 1 is corresponding to angle 2. Therefore, angle 2 would also measure 135°.
To find the measure of angle 2, we need to use the property of corresponding angles. When two parallel lines are intersected by a transversal, the corresponding angles are congruent.
Given that angle 1 measures 135° and lines M and N are parallel, we can conclude that angle 2 is congruent to angle 1. Therefore, angle 2 also measures 135°.
To find the measure of angle 2, we need to use the properties of parallel lines. When two lines are parallel, the alternate interior angles are congruent.
In this case, we have two parallel lines, M and N, intersected by a transversal that forms angles 1 and 2.
Since angle 1 is given as 135° and it is an alternate interior angle to angle 2, we can conclude that angle 2 is also 135°.
Therefore, the measure of angle 2 is 135°.