If M and N are parallel and angle 1 is 135° , what is the measure of angle 8??
Without additional information about the specific geometric shape or arrangement of M and N, it is not possible to determine the measure of angle 8.
To find the measure of angle 8, we need to use the fact that M and N are parallel lines. When a transversal line intersects two parallel lines, corresponding angles are congruent.
In this case, angle 1 is given as 135°. Since angle 8 is a corresponding angle to angle 1, we can conclude that angle 8 is also 135°.
Therefore, the measure of angle 8 is 135°.
To find the measure of angle 8, we need to understand the relationship between the angles formed when two parallel lines are intersected by a transversal. In this case, lines M and N are parallel and are being intersected by a transversal.
The angles formed when a transversal intersects two parallel lines can be classified into several types:
1) Corresponding angles: These are the angles that are located in the same relative position at each intersection and are equal in measure.
2) Alternate interior angles: These are the angles that are located on opposite sides of the transversal in the inside of the parallel lines, and they are equal in measure.
3) Alternate exterior angles: These are the angles that are located on opposite sides of the transversal on the outside of the parallel lines, and they are equal in measure.
4) Consecutive interior angles: These are the angles that are located on the same side of the transversal in between the two parallel lines, and they are supplementary (their measures add up to 180 degrees).
To calculate the measure of angle 8, we need to determine its relationship with angle 1.
Since angle 1 and angle 8 are alternate interior angles (they are located on opposite sides of the transversal inside the parallel lines), they have equal measures. Therefore, the measure of angle 8 is also 135°.