If M and N are parallel and angle 1 is 135°, what is the measure of angle 2?(1 point)
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In order to determine the measure of angle 2, we need more information about the relationship between angle 1 and angle 2.
Since M and N are parallel, angle 1 and angle 2 are corresponding angles. Corresponding angles that are formed by a transversal cutting two parallel lines are congruent. So if angle 1 measures 135°, angle 2 also measures 135°.
To find the measure of angle 2, we need to apply the property of parallel lines and transversals, which states that the sum of the interior angles on the same side of the transversal is 180 degrees.
In this case, angle 1 and angle 2 are interior angles on the same side of the transversal. Angle 1 is given as 135°, so to find angle 2, we subtract angle 1 from 180°.
Angle 2 = 180° - 135°
Angle 2 = 45°
Therefore, the measure of angle 2 is 45 degrees.