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Identify and label each angle as acute, obtuse, or right in this educational worksheet.

Worksheet titled "Three Types of Angles" with 12 labeled geometric angles to classify as acute, obtuse, or right.

Worksheet titled "Three Types of Angles" with 12 labeled geometric angles to classify as acute, obtuse, or right.

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Show Answer Key & Explanations Step-by-step solution for: Types of Angles (Acute, Obtuse, Right) | Geometry worksheets ...
Let's solve the problem step by step.

We are asked to label each angle as acute, obtuse, or right based on the diagrams provided. Here's a quick review of the definitions:

- Acute angle: An angle that is less than 90°.
- Right angle: An angle that is exactly 90° (often marked with a small square).
- Obtuse angle: An angle that is greater than 90° but less than 180°.

Now let’s go through each diagram one by one and determine the type of angle.

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1. ∠ABC


- The angle at point B looks like it's less than 90°.
- Answer: Acute

2. ∠DEF


- There is a square symbol at point E, indicating a right angle.
- Answer: Right

3. ∠GHI


- The angle at H is greater than 90°, and appears to be more than a right angle but less than a straight line.
- Answer: Obtuse

4. ∠JKL


- The angle at K is less than 90°.
- Answer: Acute

5. ∠MNO


- The angle at N is less than 90°.
- Answer: Acute

6. ∠PQR


- The angle at Q is less than 90°.
- Answer: Acute

7. ∠STU


- The angle at T is greater than 90°.
- Answer: Obtuse

8. ∠VWX


- The angle at W is less than 90°.
- Answer: Acute

9. ∠XYZ


- The angle at Z is greater than 90° (it's clearly open wide).
- Answer: Obtuse

10. ∠BCD


- The angle at C is greater than 90°, but not a full straight line.
- Answer: Obtuse

11. ∠EFG


- There is a square symbol at F, so this is a right angle.
- Answer: Right

12. ∠HIJ


- The angle at I is less than 90°.
- Answer: Acute

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Final Answers:



1. Acute
2. Right
3. Obtuse
4. Acute
5. Acute
6. Acute
7. Obtuse
8. Acute
9. Obtuse
10. Obtuse
11. Right
12. Acute

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Summary:
We used visual estimation and the presence of the right-angle symbol (□) to classify each angle correctly. Remember:
- Acute = sharp/small (< 90°)
- Right = exactly 90° (marked with a square)
- Obtuse = wide (> 90° but < 180°)

Let me know if you'd like a printable version or help with any specific one!
Parent Tip: Review the logic above to help your child master the concept of angles worksheet pdf.
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