Final answer:
The measure of the exterior angle to angle K is 23 degrees.
Step-by-step explanation:
Given that angle J = 67° and angle L = 90°, the sum of angles in a triangle is always 180 degrees. Therefore, angle K is given by:
Angle K = 180 - (angle J + angle L)
Angle K = 180 - (67 + 90) = 180 - 157 = 23°
So, the measure of the exterior angle to angle K is 23 degrees.