Question

finding angles by degrees
name:
answers
determine if the angle described is acute, obtuse,right orstraight.

1. 68°
2. 177°
3. 131°
4. 15°
5. 162°
6. 32°
7. 90°
8. 135°
9. 49°
10. 90°
11. 180°
12. 175°
13. 48°
14. 20°
15. 64°
16. 180°
17. 157°
18. 7°
19. 8°
20. 92°

Explanation:

Step1: Recall angle - type definitions

Acute angles are between 0° and 90°, right - angle is 90°, obtuse angles are between 90° and 180°, and straight - angle is 180°.

Step2: Classify each angle

1. 68°: Since 0° < 68° < 90°, it is acute.
2. 177°: Since 90° < 177° < 180°, it is obtuse.
3. 131°: Since 90° < 131° < 180°, it is obtuse.
4. 15°: Since 0° < 15° < 90°, it is acute.
5. 162°: Since 90° < 162° < 180°, it is obtuse.
6. 32°: Since 0° < 32° < 90°, it is acute.
7. 90°: It is a right - angle.
8. 135°: Since 90° < 135° < 180°, it is obtuse.
9. 49°: Since 0° < 49° < 90°, it is acute.
10. 90°: It is a right - angle.
11. 180°: It is a straight - angle.
12. 175°: Since 90° < 175° < 180°, it is obtuse.
13. 48°: Since 0° < 48° < 90°, it is acute.
14. 20°: Since 0° < 20° < 90°, it is acute.
15. 64°: Since 0° < 64° < 90°, it is acute.
16. 180°: It is a straight - angle.
17. 157°: Since 90° < 157° < 180°, it is obtuse.
18. 7°: Since 0° < 7° < 90°, it is acute.
19. 8°: Since 0° < 8° < 90°, it is acute.
20. 92°: Since 90° < 92° < 180°, it is obtuse.

Answer:

1. acute
2. obtuse
3. obtuse
4. acute
5. obtuse
6. acute
7. right
8. obtuse
9. acute
10. right
11. straight
12. obtuse
13. acute
14. acute
15. acute
16. straight
17. obtuse
18. acute
19. acute
20. obtuse