The diagram shows a line going diagonally in between two parallel lines. If M and N are parallel and angle 1/8 is 135°, what is the measure of angle 7/8 and why? They are not the same.
Since M and N are parallel lines, the line going diagonally between them forms a transversal. According to the diagram, angle 1/8 is given as 135°. Angle 1/8 and angle 7/8 are corresponding angles as they are in the same relative position with respect to M and N.
Corresponding angles formed by a transversal intersecting two parallel lines are equal. Therefore, if angle 1/8 is 135°, then angle 7/8 must also be 135°.
So, the measure of angle 7/8 is 135°.