Final answer:
The angular misclosure for a five-sided polygon traverse is found by summing the measured interior angles and comparing this to the expected sum of interior angles for a pentagon. The misclosure is the difference between these two sums.
Step-by-step explanation:
The student is asking how to calculate the angular misclosure for a five-sided polygon traverse after measuring the interior angles. The sum of the interior angles of a polygon is given by the formula (n-2)×180°, where n is the number of sides. For a five-sided polygon (pentagon), the expected sum of the interior angles should be (5-2)×180° = 540°.
To calculate the angular misclosure, we add the measured angles: 110°26'48" + 105°55'04" + 113°15'34" + 100°35'24" + 109°47'20" = 539°60'10". Subtracting this from the expected sum: 540°00'00" - 539°60'10" = 0° 59' 50", we find the angular misclosure for this traverse.