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classifying angles sheet 1 classify each angle as acute, obtuse, right,…

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° ____

Explanation:

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)
  1. The angle is narrow (less than \( 90^\circ \)) → Acute
  2. The angle looks like a right angle (exactly \( 90^\circ \)) → Right
  3. The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
  4. The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
  5. The angle looks like a right angle (exactly \( 90^\circ \)) → Right
  6. The angle is a straight line (exactly \( 180^\circ \)) → Straight
  7. The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
  8. The angle is narrow (less than \( 90^\circ \)) → Acute
  9. The angle is a straight line (exactly \( 180^\circ \)) → Straight
  10. The angle is narrow (less than \( 90^\circ \)) → Acute
Angles with Degrees (11–20)
  1. \( 120^\circ \): \( 90^\circ < 120^\circ < 180^\circ \) → Obtuse
  2. \( 163^\circ \): \( 90^\circ < 163^\circ < 180^\circ \) → Obtuse
  3. \( 15^\circ \): \( 0^\circ < 15^\circ < 90^\circ \) → Acute
  4. \( 37^\circ \): \( 0^\circ < 37^\circ < 90^\circ \) → Acute
  5. \( 96^\circ \): \( 90^\circ < 96^\circ < 180^\circ \) → Obtuse
  6. \( 90^\circ \): Exactly \( 90^\circ \) → Right
  7. \( 10^\circ \): \( 0^\circ < 10^\circ < 90^\circ \) → Acute
  8. \( 47^\circ \): \( 0^\circ < 47^\circ < 90^\circ \) → Acute
  9. \( 180^\circ \): Exactly \( 180^\circ \) → Straight
  10. \( 100^\circ \): \( 90^\circ < 100^\circ < 180^\circ \) → Obtuse
Final Answers (1–20)
  1. Acute
  2. Right
  3. Obtuse
  4. Obtuse
  5. Right
  6. Straight
  7. Obtuse
  8. Acute
  9. Straight
  10. Acute
  11. Obtuse
  12. Obtuse
  13. Acute
  14. Acute
  15. Obtuse
  16. Right
  17. Acute
  18. Acute
  19. Straight
  20. Obtuse

Answer:

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)
  1. The angle is narrow (less than \( 90^\circ \)) → Acute
  2. The angle looks like a right angle (exactly \( 90^\circ \)) → Right
  3. The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
  4. The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
  5. The angle looks like a right angle (exactly \( 90^\circ \)) → Right
  6. The angle is a straight line (exactly \( 180^\circ \)) → Straight
  7. The angle is wide (greater than \( 90^\circ \), less than \( 180^\circ \)) → Obtuse
  8. The angle is narrow (less than \( 90^\circ \)) → Acute
  9. The angle is a straight line (exactly \( 180^\circ \)) → Straight
  10. The angle is narrow (less than \( 90^\circ \)) → Acute
Angles with Degrees (11–20)
  1. \( 120^\circ \): \( 90^\circ < 120^\circ < 180^\circ \) → Obtuse
  2. \( 163^\circ \): \( 90^\circ < 163^\circ < 180^\circ \) → Obtuse
  3. \( 15^\circ \): \( 0^\circ < 15^\circ < 90^\circ \) → Acute
  4. \( 37^\circ \): \( 0^\circ < 37^\circ < 90^\circ \) → Acute
  5. \( 96^\circ \): \( 90^\circ < 96^\circ < 180^\circ \) → Obtuse
  6. \( 90^\circ \): Exactly \( 90^\circ \) → Right
  7. \( 10^\circ \): \( 0^\circ < 10^\circ < 90^\circ \) → Acute
  8. \( 47^\circ \): \( 0^\circ < 47^\circ < 90^\circ \) → Acute
  9. \( 180^\circ \): Exactly \( 180^\circ \) → Straight
  10. \( 100^\circ \): \( 90^\circ < 100^\circ < 180^\circ \) → Obtuse
Final Answers (1–20)
  1. Acute
  2. Right
  3. Obtuse
  4. Obtuse
  5. Right
  6. Straight
  7. Obtuse
  8. Acute
  9. Straight
  10. Acute
  11. Obtuse
  12. Obtuse
  13. Acute
  14. Acute
  15. Obtuse
  16. Right
  17. Acute
  18. Acute
  19. Straight
  20. Obtuse