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work out the size of angle h. Give your answer in degrees

To determine the size of angle \( h \) in the provided diagram, we need to utilize the properties of angles formed by intersecting lines.

1. **Identify Relationships**:
    - Adjacent angles formed by intersecting lines are supplementary (sum to \( 180^\circ \)).
    - Vertically opposite angles are equal.

2. **Given Angles**:
    - \( 84^\circ \)
    - \( 71^\circ \)
    - \( 109^\circ \)

3. **Calculate Supplementary Angles**:
    - Angle \( h \) and the angle adjacent to it ( \( 84^\circ \)) are supplementary.
    - Therefore, \( h + 84^\circ = 180^\circ \)

Solving for \( h \):
\[ h = 180^\circ - 84^\circ = 96^\circ \]

Therefore, the size of angle \( h \) is \( 96^\circ \).

If you have any questions or want details, please let me know.

Here are 5 numbered questions you might consider asking:
1. How do you find supplementary angles?
2. What are vertically opposite angles?
3. How do you identify corresponding angles in parallel lines?
4. Can you explain the properties of intersecting lines?
5. How do you solve problems involving angle bisectors?

**Tip:** When working with angles formed by intersecting lines, always remember to use properties of supplementary and vertically opposite angles to find unknown angles.

Learn how to calculate the size of angle h in a geometry problem involving intersecting lines. Understand the properties of angles formed by intersecting lines, including supplementary angles and vertically opposite angles. Suitable for students in Grades 6-8.

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