To solve the problem, we need to classify each angle as
acute,
obtuse,
right, or
straight. Here's a step-by-step explanation of how to do this:
Definitions:
1.
Acute Angle: An angle that measures less than 90°.
2.
Right Angle: An angle that measures exactly 90°.
3.
Obtuse Angle: An angle that measures more than 90° but less than 180°.
4.
Straight Angle: An angle that measures exactly 180°.
Solution:
#### Part 1: Visual Angles (1-10)
We will analyze each visual angle and determine its classification based on its appearance.
1.
Angle 1: This angle is less than 90°.
Classification: Acute
2.
Angle 2: This angle is exactly 90°.
Classification: Right
3.
Angle 3: This angle is more than 90° but less than 180°.
Classification: Obtuse
4.
Angle 4: This angle is less than 90°.
Classification: Acute
5.
Angle 5: This angle is exactly 180°.
Classification: Straight
6.
Angle 6: This angle is more than 90° but less than 180°.
Classification: Obtuse
7.
Angle 7: This angle is more than 90° but less than 180°.
Classification: Obtuse
8.
Angle 8: This angle is exactly 90°.
Classification: Right
9.
Angle 9: This angle is less than 90°.
Classification: Acute
10.
Angle 10: This angle is more than 90° but less than 180°.
Classification: Obtuse
#### Part 2: Numerical Angles (11-20)
We will classify each angle based on its given measure.
11.
84°: This angle is less than 90°.
Classification: Acute
12.
89°: This angle is less than 90°.
Classification: Acute
13.
25°: This angle is less than 90°.
Classification: Acute
14.
50°: This angle is less than 90°.
Classification: Acute
15.
180°: This angle is exactly 180°.
Classification: Straight
16.
166°: This angle is more than 90° but less than 180°.
Classification: Obtuse
17.
90°: This angle is exactly 90°.
Classification: Right
18.
125°: This angle is more than 90° but less than 180°.
Classification: Obtuse
19.
149°: This angle is more than 90° but less than 180°.
Classification: Obtuse
20.
106°: This angle is more than 90° but less than 180°.
Classification: Obtuse
Final Answer:
\[
\boxed{
\begin{array}{ll}
1. \text{Acute} & 6. \text{Obtuse} \\
2. \text{Right} & 7. \text{Obtuse} \\
3. \text{Obtuse} & 8. \text{Right} \\
4. \text{Acute} & 9. \text{Acute} \\
5. \text{Straight} & 10. \text{Obtuse} \\
11. \text{Acute} & 16. \text{Obtuse} \\
12. \text{Acute} & 17. \text{Right} \\
13. \text{Acute} & 18. \text{Obtuse} \\
14. \text{Acute} & 19. \text{Obtuse} \\
15. \text{Straight} & 20. \text{Obtuse} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angle worksheets.
