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GATE 2025 CE (CE2) – Question 65

Geomatics Engineering · Distance and angle measurement, levelling, traversing, triangulation, total station · 2 marks · Numerical answer

If the Fore Bearing of the lines AB and BC are 60° and 122°, respectively, then the interior angle $\angle ABC$ (in degrees) is ______ (round off to the nearest integer).

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Correct answer: 118

Explanation

The back bearing of AB (the bearing of BA) is $60° + 180° = 240°$. The angle at B between the line BA and the line BC is the difference of their bearings: $240° - 122° = 118°$.