https://file.aiquickdraw.com/mathbot/file/1726835998274gtdnvdjp.jpg

Supplementary angles are two angles that add up to 180 degrees. Typically, this occurs when two angles form a straight line or are adjacent.

### Let's analyze the image:
- \(\angle HIG\) and \(\angle JIL\) appear to be adjacent and form a straight line, making them supplementary. 

The correct pair of supplementary angles would be:

**\(\angle HIG\) and \(\angle JIL\)**.

Would you like further explanation on this concept, or help with a related problem?

Here are some related questions:
1. What are complementary angles?
2. How do you identify vertical angles in this figure?
3. Can two acute angles be supplementary?
4. Are any angles in the diagram congruent? Why?
5. What is the sum of angles around point \(L\)?

**Tip**: When looking for supplementary angles, always check if the angles form a linear pair (a straight line).

Learn how to identify supplementary angles, which add up to 180 degrees, by analyzing geometric figures. This question focuses on recognizing linear pairs and adjacent angles. Suitable for students in Grades 6-8.

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