To solve the problem of classifying the angles in the provided image, we need to identify each angle based on its measure and characteristics. Here is a step-by-step explanation:
Key Definitions of Angles:
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°.
5.
Reflex Angle: An angle that measures more than 180° but less than 360°.
6.
Revolution (Full Angle): An angle that measures exactly 360°.
Step-by-Step Classification:
####
Row 1:
1.
Angle 1: This angle is less than 90°.
-
Classification: Acute
2.
Angle 2: This angle is more than 90° but less than 180°.
-
Classification: Obtuse
3.
Angle 3: This angle forms a perfect corner, measuring exactly 90°.
-
Classification: Right
####
Row 2:
4.
Angle 4: This angle is more than 90° but less than 180°.
-
Classification: Obtuse
5.
Angle 5: This angle measures exactly 360°, forming a complete circle.
-
Classification: Revolution
6.
Angle 6: This angle is more than 180° but less than 360°.
-
Classification: Reflex
####
Row 3:
7.
Angle 7: This angle is more than 90° but less than 180°.
-
Classification: Obtuse
8.
Angle 8: This angle measures exactly 180°, forming a straight line.
-
Classification: Straight
9.
Angle 9: This angle is less than 90°.
-
Classification: Acute
####
Row 4:
10.
Angle 10: This angle is more than 180° but less than 360°.
-
Classification: Reflex
11.
Angle 11: This angle measures exactly 90°.
-
Classification: Right
12.
Angle 12: This angle is more than 90° but less than 180°.
-
Classification: Obtuse
####
Row 5:
13.
Angle 13: This angle is less than 90°.
-
Classification: Acute
14.
Angle 14: This angle is more than 90° but less than 180°.
-
Classification: Obtuse
15.
Angle 15: This angle is more than 180° but less than 360°.
-
Classification: Reflex
Final Answer:
Here is the classification of all the angles:
1. Acute
2. Obtuse
3. Right
4. Obtuse
5. Revolution
6. Reflex
7. Obtuse
8. Straight
9. Acute
10. Reflex
11. Right
12. Obtuse
13. Acute
14. Obtuse
15. Reflex
Boxed Answer:
\[
\boxed{
\text{Acute, Obtuse, Right, Obtuse, Revolution, Reflex, Obtuse, Straight, Acute, Reflex, Right, Obtuse, Acute, Obtuse, Reflex}
}
\]
Parent Tip: Review the logic above to help your child master the concept of labeling angles worksheet.