https://file.aiquickdraw.com/mathbot/file/1725541861880hmi3l2ph.jpg

From the image you uploaded, I can see that there are multiple problems involving triangles, with different labels, side lengths, and angle measurements. Let's go through the general instructions visible and address each problem step-by-step.

### Problem Breakdown:

1. **Question 1 (a-c)** involves identifying missing side lengths, angles, or labeling for three triangles.
2. **Question 2 (a-b)** involves determining the spaces between vertices or using the Pythagorean theorem.

I'll work through what is clearly visible and provide guidance on solving them:

### For Question 1:
The task seems to require filling in missing information for angles or sides.

- **Triangle (a)**: The angles are marked with a small circle, possibly indicating right angles or angles that can be determined by angle sum property (sum of angles in a triangle = 180°).
  
- **Triangle (b)**: This triangle has a longer side, and there might be a missing length.

- **Triangle (c)**: Similar to the previous one but rotated, again with marked angles and sides.

### For Question 2:
The task is possibly related to labeling or calculating distances between the points or determining if the triangles follow Pythagoras' theorem.

### Guidance:
- **Use of the Pythagorean theorem**: If the triangles are right-angled, you can apply the formula \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse (longest side).
  
- **Sum of Angles in a Triangle**: Always 180°, so if you know two angles, subtract their sum from 180° to find the third.

Would you like more detailed assistance on specific parts or calculations for these triangles?

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### 5 Related Questions:
1. How can you find the third angle if two angles of a triangle are known?
2. What is the significance of labeling sides in a triangle when using the Pythagorean theorem?
3. How do you calculate the length of the hypotenuse in a right-angled triangle?
4. What are the steps to check if a triangle is right-angled using side lengths?
5. How does the sum of angles help in solving non-right triangles?

**Tip**: For triangle problems, always double-check if any sides or angles are missing, and use basic properties like angle sum or the Pythagorean theorem to complete them.

Based on the triangles shown in the image, complete the missing side lengths and angles, and apply the Pythagorean theorem where necessary.

Learn how to solve various triangle problems, including finding missing side lengths and angles using the Pythagorean theorem and the angle sum property. Detailed step-by-step guidance for students in Grades 6-8.

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