Question

finding angles by degrees
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

An acute angle is between 0° and 90°, a right - angle is 90°, an obtuse angle is between 90° and 180°, and a 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