Final answer:
Without additional information or context, it is impossible to determine the measure of angle L from the options given (110°, 55°, 35°, 90°).
Step-by-step explanation:
The question does not provide enough information to determine the measure of angle L accurately. Normally, the measure of an angle is expressed in degrees (degrees), and an angle of 35° 43' 9" would represent an angle of 35 degrees, 43 minutes of arc, and 9 seconds of arc.
However, in the context provided, we do not have enough information about angle L or its relationship to other angles or a diagram to find its measure.
Angles in the sky or in geometric terms are part of a circle that consists of 360 degrees. If angle L corresponds to an angle on the Earth's surface, such as latitude or a direction such as 'west of north', additional information would be required to calculate its measure.