The fore bearing of line AB is 150 - and the angle ABC is 124- then the fore bearing of line BC is

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Question

The fore bearing of line AB is $150^{\circ}$ and the angle ABC is $124^{\circ}$ then the fore bearing of line BC is

98^{\circ}

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94^{\circ}

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198^{\circ}

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90^{\circ}

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Solution

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In a badly maintained field book, following observations were found:

Bearing of line AB with true north = 123^{\circ}

Acute angle A B C = 82^{\circ}

When extended line BC is rotated by an angle of 30^{\circ} (clockwise), it meets the line CD.

If the bearing of line DC with true North is more than 180^{\circ}, then its bearing value (in degrees) is

45^{\circ}

5^{\circ}

S 38^{\circ} 30^{'} W

4^{\circ} 30^{'} W

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