The diagram shows a line going diagonally in between two parallel lines. If M and N are parallel and angle 1 is 135°, what is the measure of angle eight and why?
Without a diagram, it is difficult to determine the exact positions and orientations of the given lines and angles. However, based on the information provided, we can assume that "M" and "N" refer to the parallel lines, and "angle 1" refers to the angle between the diagonal line and the parallel lines.
Assuming this configuration, we can use the following relationship:
- If a transversal intersects two parallel lines, the corresponding angles are congruent.
Therefore, we can conclude that angle 8 is also 135°. This is because angle 8 is a corresponding angle to angle 1, as both angles are formed by the diagonal line intersecting the parallel lines.