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The problem provided asks to find the measure of ∠LHK.

### Given:
- ∠GHK is a straight angle, meaning it measures 180°.
- m∠LHG is given as 79°.

### Steps to solve:
Since ∠GHK is a straight angle (180°), and ∠LHG forms part of this straight angle, we can subtract ∠LHG from 180° to find the measure of ∠LHK.

1. \( m∠GHK = 180° \)
2. \( m∠LHK = m∠GHK - m∠LHG \)
3. \( m∠LHK = 180° - 79° \)
4. \( m∠LHK = 101° \)

Thus, \( m∠LHK = 101° \).

Would you like further clarification on any part of the solution?

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Here are five questions based on this problem:

1. What is the definition of a straight angle?
2. How are supplementary angles related to straight angles?
3. Can two angles share a vertex and still sum up to less than 180°? Why or why not?
4. What would the measure of ∠LHK be if ∠LHG were 90°?
5. How do we calculate the third angle in a triangle if two angles are known?

**Tip:** In any geometric diagram, always check for straight angles or right angles to use known angle sums for easier calculations.

Find the measure of ∠LHK given that ∠GHK is a straight angle and ∠LHG is 79°.

Learn how to find the measure of angle ∠LHK when given a straight angle ∠GHK and ∠LHG measuring 79°. This problem covers key geometry concepts and the application of the supplementary angles theorem.

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