To isolate an enclosed area for conservation, an open traverse is run keeping close to (but outside of) the exterior boundary of the area through ground points A → B → C → D → E → F → G → towards H (to be eventually located). AB is 80° to the East of the North line at A. Deflection / Interior angles at B, C, D, E, F are indicated. What would be the magnitude of the deflection angle at G (as marked) so that GH may run parallel to BA? (Lengths are immaterial in this case.)

To isolate an enclosed area for conservation, an open traverse is run keeping close to (but outside of) the exterior boundary of the area through ground points A → B → C → D → E → F → G → towards H (to be eventually located). AB is 80° to the East of the North line at A. Deflection / Interior angles at B, C, D, E, F are indicated. What would be the magnitude of the deflection angle at G (as marked) so that GH may run parallel to BA? (Lengths are immaterial in this case.) Correct Answer 190°

Concept:

Sum of internal angles of polygon,

∑I = (n - 2) × 180° 

Calculation:

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Sum of internal angles of polygon,

∑I = (n - 2) × 180° 

∑I = (8 - 2) × 180° = 1080° 

∠A + ∠B + ∠C + ∠D + ∠E + ∠F + ∠G + ∠H = 1080° 

100° + 230° + 80° + 270° + 60° + 70° + ∠G + 80° = 1080° 

∴ ∠G = 190° 

Related Questions

Choose the correct statement. a) The sum of the measured interior angles should be equal (2N - 4) right angles. b) If the exterior angles are measured, their sum should be equal to (2N + 4) right angle. Where N is the number of sides of the traverse.