To analyze the image and solve the problem, I'll extract details from it.

From the given triangle ΔGHJ:

• Included angle of sides JG and GH: This is the angle formed where the two sides JG and GH meet.
• Angle opposite to side GH: This is the angle across the triangle from the side GH.
• Side opposite to ∠J: This is the side of the triangle not directly adjacent to ∠J.

I'll first carefully examine the triangle in the image and provide answers for the blanks. Let me proceed. PIL import Image

Load the uploaded image to visually confirm the triangle's details

image_path = '/mnt/data/1737507898918nrg31yxn.jpg' triangle_image = Image.open(image_path) triangle_image.show()I’ve opened the image for review. Based on the triangle labeled as ΔGHJ:

1. The included angle of sides JG and GH is angle ∠G (since the sides meet at vertex G).
2. Angle H is the opposite angle to side JG (across the triangle from the side JG).
3. The side opposite to ∠J is side GH (as it is across the triangle from vertex J).

Let me know if further clarification is needed!

Would you like me to explain any of these points in detail?
Here are 5 related questions to expand your understanding:

1. How do we identify included angles in a triangle?
2. Why is the opposite angle determined by a specific side?
3. What are the relationships between angles and sides in a triangle?
4. Can these concepts be applied to non-triangular shapes?
5. How does labeling (e.g., ∆GHJ) help in solving problems?

Tip: The sum of angles in a triangle always equals 180°. Use this property to find missing angles!