QUESTION IMAGE
Question
classifying angles sheet 1 classify each angle as acute, obtuse, right, or straight 1. angle diagram ____ 2. angle diagram __ 3. angle diagram __ 4. angle diagram __ 5. angle diagram __ 6. angle diagram __ 7. angle diagram __ 8. angle diagram __ 9. angle diagram __ 10. angle diagram __ 11. 120° __ 12. 163° __ 13. 15° __ 14. 37° __ 15. 96° __ 16. 90° __ 17. 10° __ 18. 47° __ 19. 180° __ 20. 100° ____
Response
To solve this, we use the definitions of angle types:
- Acute Angle: Less than \( 90^\circ \) (and greater than \( 0^\circ \)).
- Right Angle: Exactly \( 90^\circ \).
- Obtuse Angle: Greater than \( 90^\circ \) (and less than \( 180^\circ \)).
- Straight Angle: Exactly \( 180^\circ \).
Visual Angles (1–10)
- The angle is narrow (less than \( 90^\circ \)) → Acute
- The angle looks like a right angle (exactly \( 90^\circ \)) → Right
- The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
- The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
- The angle looks like a right angle (exactly \( 90^\circ \)) → Right
- The angle is a straight line (exactly \( 180^\circ \)) → Straight
- The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
- The angle is narrow (less than \( 90^\circ \)) → Acute
- The angle is a straight line (exactly \( 180^\circ \)) → Straight
- The angle is narrow (less than \( 90^\circ \)) → Acute
Angles with Degrees (11–20)
- \( 120^\circ \): \( 90^\circ < 120^\circ < 180^\circ \) → Obtuse
- \( 163^\circ \): \( 90^\circ < 163^\circ < 180^\circ \) → Obtuse
- \( 15^\circ \): \( 0^\circ < 15^\circ < 90^\circ \) → Acute
- \( 37^\circ \): \( 0^\circ < 37^\circ < 90^\circ \) → Acute
- \( 96^\circ \): \( 90^\circ < 96^\circ < 180^\circ \) → Obtuse
- \( 90^\circ \): Exactly \( 90^\circ \) → Right
- \( 10^\circ \): \( 0^\circ < 10^\circ < 90^\circ \) → Acute
- \( 47^\circ \): \( 0^\circ < 47^\circ < 90^\circ \) → Acute
- \( 180^\circ \): Exactly \( 180^\circ \) → Straight
- \( 100^\circ \): \( 90^\circ < 100^\circ < 180^\circ \) → Obtuse
Final Answers (1–20)
- Acute
- Right
- Obtuse
- Obtuse
- Right
- Straight
- Obtuse
- Acute
- Straight
- Acute
- Obtuse
- Obtuse
- Acute
- Acute
- Obtuse
- Right
- Acute
- Acute
- Straight
- Obtuse
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To solve this, we use the definitions of angle types:
- Acute Angle: Less than \( 90^\circ \) (and greater than \( 0^\circ \)).
- Right Angle: Exactly \( 90^\circ \).
- Obtuse Angle: Greater than \( 90^\circ \) (and less than \( 180^\circ \)).
- Straight Angle: Exactly \( 180^\circ \).
Visual Angles (1–10)
- The angle is narrow (less than \( 90^\circ \)) → Acute
- The angle looks like a right angle (exactly \( 90^\circ \)) → Right
- The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
- The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
- The angle looks like a right angle (exactly \( 90^\circ \)) → Right
- The angle is a straight line (exactly \( 180^\circ \)) → Straight
- The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
- The angle is narrow (less than \( 90^\circ \)) → Acute
- The angle is a straight line (exactly \( 180^\circ \)) → Straight
- The angle is narrow (less than \( 90^\circ \)) → Acute
Angles with Degrees (11–20)
- \( 120^\circ \): \( 90^\circ < 120^\circ < 180^\circ \) → Obtuse
- \( 163^\circ \): \( 90^\circ < 163^\circ < 180^\circ \) → Obtuse
- \( 15^\circ \): \( 0^\circ < 15^\circ < 90^\circ \) → Acute
- \( 37^\circ \): \( 0^\circ < 37^\circ < 90^\circ \) → Acute
- \( 96^\circ \): \( 90^\circ < 96^\circ < 180^\circ \) → Obtuse
- \( 90^\circ \): Exactly \( 90^\circ \) → Right
- \( 10^\circ \): \( 0^\circ < 10^\circ < 90^\circ \) → Acute
- \( 47^\circ \): \( 0^\circ < 47^\circ < 90^\circ \) → Acute
- \( 180^\circ \): Exactly \( 180^\circ \) → Straight
- \( 100^\circ \): \( 90^\circ < 100^\circ < 180^\circ \) → Obtuse
Final Answers (1–20)
- Acute
- Right
- Obtuse
- Obtuse
- Right
- Straight
- Obtuse
- Acute
- Straight
- Acute
- Obtuse
- Obtuse
- Acute
- Acute
- Obtuse
- Right
- Acute
- Acute
- Straight
- Obtuse