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Determine the interior angle at A, CAB.

Mathematics

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Step-by-step solution

2 steps

a) Calculate angle ACB.

  1. Determine the interior angle at A, ∠CAB\angle CAB.

    The bearing of C from A is 025∘025^\circ. This means the angle measured clockwise from the North line at A to the line AC is 25∘25^\circ.
    So, ∠CAB=25∘\angle CAB = 25^\circ.

  2. Determine the interior angle at B, ∠CBA\angle CBA.

    The bearing of C from B is 337∘337^\circ. This is the angle measured clockwise from the North line at B to the line BC.
    The angle measured counter-clockwise from the North line at B to the line BC is 360∘−337∘=23∘360^\circ - 337^\circ = 23^\circ.
    So

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