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To calculate the bearing of \( Y \) from \( X \), we need to find the angle measured clockwise from the north direction.

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- We are given an angle of \( 167^\circ \) between the north line and the line to \( Z \).
- The bearing is measured clockwise from the north, so to get the bearing of \( Y \) from \( X \), we will add the angle between the north line and the direction to \( Y \).

### Steps:

1. Bearings are measured clockwise from north, starting at \( 0^\circ \).
2. The angle from north to \( Z \) is \( 167^\circ \).
3. The bearing of \( Y \) is measured clockwise from north, past \( 167^\circ \) all the way to the direction of \( Y \).

Thus, the bearing of \( Y \) from \( X \) is \( 167^\circ \).

Would you like further details or clarification on this solution?

Here are some questions for deeper understanding:

1. What is the general rule for measuring bearings?
2. How do bearings differ from standard angle measurements in trigonometry?
3. How would you calculate the bearing of \( Z \) from \( X \)?
4. How are bearings useful in navigation?
5. What would happen if the bearing crossed \( 360^\circ \)?

**Tip**: Bearings always move clockwise from the north, so they are often in the range \( 0^\circ \) to \( 360^\circ \).

Calculate the bearing of Y from X, given an angle of 167 degrees between the north line and the line to Z.

Learn how to calculate the bearing of point Y from point X with an angle of 167° from the north direction to Z. This problem covers geometric bearings and angle measurements suitable for students in Grades 8-10.

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