If M and N are parallel and angle 1 is 135° , what is the measure of angle 7?
To find the measure of angle 7, we need to use the concept of transversal lines and alternate interior angles.
Given that lines M and N are parallel and angle 1 measures 135°, we can conclude that angle 1 and angle 7 are alternate interior angles.
The property of alternate interior angles states that when a transversal line intersects two parallel lines, the angles on opposite sides of the transversal line, but between the parallel lines, are congruent.
Therefore, we can say that angle 1 is congruent to angle 7.
So, the measure of angle 7 is 135°.
To find the measure of angle 7, we need to use the property that when two parallel lines are intersected by a transversal, alternate interior angles are congruent.
In this case, angle 1 and angle 7 are alternate interior angles since they are on opposite sides of the transversal and between the parallel lines. Since angle 1 measures 135°, angle 7 must also measure 135°.
Therefore, the measure of angle 7 is 135°.