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The image you've provided contains a list of mathematical tasks. Here’s a breakdown and translation of each task:

1. **In the triangle \( ABC \) it is given that \( \angle BAC = 48^\circ \) and \( \angle ABC = 37^\circ \). Calculate \( \angle ACB \).**

2. **Calculate the area of triangle \( ABC \) if \( BC = 6 \, \text{cm} \), \( AB = 4 \, \text{cm} \), and \( \angle BAC = 48^\circ \).**

3. **Construct triangle \( ABC \) where \( BC = 6 \, \text{cm} \), \( AB = 3 \, \text{cm} \), and \( \angle ABC = 45^\circ \).**

4. **Construct an angle \( \angle XYZ \) of \( 57^\circ \) and \( 68^\circ \). Then, construct the bisector of this angle.**

5. **Use a protractor to measure the angle \( \angle ABC \) and draw it, ensuring the conditions \( BC = 4 \, \text{cm} \), \( AB = 3 \, \text{cm} \), and \( AC = 5 \, \text{cm} \) are met.**

6. **Measure the angles \( \angle BAC \) and \( \angle ABC \) using a protractor and verify the conditions \( BC = 4 \, \text{cm} \), \( AB = 3 \, \text{cm} \), and \( AC = 5 \, \text{cm} \).**

Would you like to go through each problem step by step? Let me know which one you'd like to start with, or if you have any specific questions about these tasks!

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Here are some relative questions you might consider:
1. How can we calculate the third angle in a triangle when two angles are known?
2. What formulas are used to calculate the area of a triangle given different sets of information?
3. What is the method to construct a triangle with given side lengths and angles?
4. How do you construct and bisect an angle using a compass and straightedge?
5. What is the significance of verifying geometric constructions with a protractor?

**Tip:** Always double-check the conditions given for geometric constructions to ensure accuracy in your solutions.

The image contains a list of mathematical tasks involving geometry and angle measurements.

Explore a variety of geometry problems involving triangle properties, angle measurements, and area calculation. Learn how to construct triangles with given side lengths and angles, bisect angles, and verify geometric conditions. Suitable for students in Grades 7-9.

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