If M and N are parallel lines, then angle 1 and angle 2 are alternate interior angles. Alternate interior angles are congruent (have the same measure) when the lines are parallel.
So, the measure of angle 2 would also be 135°.
If M and N are parallel and angle 1 is 135° , what is the measure of angle 2?(1 point)
So, the measure of angle 2 would also be 135°.
An illustration shows a right inclined transversal passing through two parallel lines labeled upper M and upper N. Four angles are formed at the intersections of the transversal with upper M and upper N. The angles formed around the intersection point of the transversal and upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7."/>
Therefore, if angle 1 is 135°, then angle 2 would also be 135°.
Measure of angle 2 = Measure of angle 1
This formula works because when two lines are parallel, corresponding angles are congruent.
Therefore, if angle 1 is 135°, angle 8 would also be 135°.