Question

1. What is the angular closure for the following interior field angles of traverse abcdef, measured with equal precision?

a. 87° 54' 14"
b. 90° 32' 45"
c. 102° 43' 31"
d. 99° 24' 34"
e. 156° 01' 55"
f. 183° 23' 01"?
1) 87° 54' 14"
2) 90° 32' 45"
3) 102° 43' 31"
4) 99° 24' 34"
5) 156° 01' 55"
6) 183° 23' 01"

Answer 1

The angular closure for the given interior field angles of traverse abcdef is -539° 59' 00".

Step-by-step explanation:

The angular closure for the interior field angles of traverse abcdef can be calculated by summing up all the angles and subtracting the sum from 180° (since a traverse is a closed figure and the sum of interior angles of a polygon is 180°). Let's calculate it:

1. Angle a = 87° 54' 14"
2. Angle b = 90° 32' 45"
3. Angle c = 102° 43' 31"
4. Angle d = 99° 24' 34"
5. Angle e = 156° 01' 55"
6. Angle f = 183° 23' 01"

Summing up all the angles:

87° 54' 14" + 90° 32' 45" + 102° 43' 31" + 99° 24' 34" + 156° 01' 55" + 183° 23' 01" = 719° 59' 00"

Subtracting the sum from 180°:

180° - 719° 59' 00" = -539° 59' 00"

Therefore, the angular closure for the given interior field angles of traverse abcdef is -539° 59' 00".