If the fore bearing of a line AB is 30° and that of line BC is 100°, then the included angle between the lines is:

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  1. 110°
  2. 130°
  3. 70°
  4. 280°

Answer (Detailed Solution Below)

Option 1 : 110°
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Detailed Solution

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Concept:

Included Angle = Back Bearing of previous line - Fore Bearing of next line

F2 Engineering Mrunal 24.02.2023 D1

Calculation:

Given

Lines F.B.
AB 30∘ 
BC 100∘ 

The included angle between given lines AB and BC is ∠ B.

Included angle B (∠ B) = BB of line AB - FB of line BC

B.B of line AB = FB of line A + 180∘ = 30 + 180

B.B of line AB = 210 

Included angle B (∠ B) = 210 - 100∘ 

Included angle B (∠ B) = 110

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