This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
25^\circ$.
a) Calculate angle ACB.
Step 1: Determine the interior angle at A, . The bearing of C from A is . This means the angle measured clockwise from the North line at A to the line AC is . So, .
Step 2: Determine the interior angle at B, . The bearing of C from B is . 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 . So
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a) Calculate angle ACB. Step 1: Determine the interior angle at A, CAB.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.