The relationship between angles E and K is that they are alternate exterior angles. The measure of angle K is 180 degrees.
Alternate exterior angles are formed when two non-parallel lines are cut by a transversal.
They are located outside the parallel lines and on opposite sides of the transversal.
Alternate exterior angles are always congruent, meaning they have the same measure.
Therefore, the relationship between angles E and K is that they are congruent.
This means that angle K also has a measure of 180 degrees.
Here is a diagram of alternate exterior angles:
A B
/\ /\
/ \ / \
C D E F
|\ / |\ /
G H I J
Lines AB and EF are parallel, and transversal CD cuts them.
Angles C and F are alternate exterior angles, and they are congruent.