https://file.aiquickdraw.com/mathbot/file/1726074881688ib537zl7.jpg

The problem asks to estimate the measure of two angles shown in the diagram. Here's the breakdown:

1. **First angle (∠FEG):**  
   This angle looks slightly larger than a right angle (90°), as the arrow from point E extends slightly beyond a perfect 90° angle with the line segment FG.  
   The best estimate is **b. 110°**.

2. **Second angle (∠YXZ):**  
   This angle is acute, smaller than a right angle. It appears to be less than 90°, and based on the options, it is closer to 75°.  
   The best estimate is **b. 75°**.

Let me know if you'd like further details or have any questions.

Here are 5 related questions to further your understanding:
1. What are the differences between acute, right, and obtuse angles?
2. How can you accurately estimate angles without using a protractor?
3. What are some real-life examples where estimating angles is useful?
4. Can two lines form an angle greater than 180°? Why or why not?
5. How does one calculate the interior angles of polygons?

**Tip:** Remember, an angle's type (acute, right, obtuse, or straight) can often be judged by visual comparison with a 90° reference angle.

Choose the best estimate for the measure of each angle shown in the diagram.

Learn how to estimate angles from a geometry diagram. This problem involves identifying acute and obtuse angles and choosing the best estimate for their measures. Suitable for students in Grades 5-7.

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