1. **State the problem**: We need to find the three-figure bearings from the centre to Town A and Town C based on given angles.
2. **Understand bearings**: Bearings are measured clockwise from the north direction, and are expressed as three digits.
3. **Calculate bearing to Town A from centre**:
- The ray from centre to Town A is given as 35° east of north.
- Bearing is measured clockwise from north, so bearing to Town A is simply $35^\circ$.
- Write as a three-figure bearing: $035^\circ$.
4. **Calculate bearing to Town C from centre**:
- The angle from Town A to Town B is 56°, so the bearing to Town B from centre is $35^\circ + 56^\circ = 91^\circ$.
- The angle from Town B to Town C is 120°, so the bearing from centre to Town C is $91^\circ + 120^\circ = 211^\circ$.
- This is already a three-figure bearing.
5. **Final answers:**
- (a) Bearing to Town A from centre = $035^\circ$
- (b) Bearing to Town C from centre = $211^\circ$
Three Figure Bearings
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