We are given that:

• $m \angle IHJ = 130^\circ$
• $m \angle JHG = 34^\circ$

You are asked to find $m \angle IHL$. To solve this, let's assume a triangle or geometric figure that includes these angles, but the problem doesn't provide a clear context or diagram.

Could you clarify or provide more context about the shape or relationship between the points $I, H, J, L, G$? That would help in determining $m \angle IHL$.

Do you want to proceed with some assumptions based on typical geometric setups, or provide more details?

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Here are 5 related questions:

1. Are $I, H, J,$ and $G$ points in a triangle?
2. Are $IHL$ and $IHJ$ on the same line?
3. Is there any information about supplementary or complementary angles?
4. Are there parallel lines involved in the diagram?
5. Is there any sum of angles in the figure we should consider?

Tip: When solving problems with angles, it's essential to know the geometric figure and relationships between angles, such as supplementary, complementary, or opposite angles.