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. 80°
17. 57°

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. 131°: Since 90° < 131° < 180°, it is obtuse.
2. 15°: Since 0° < 15° < 90°, it is acute.
3. 162°: Since 90° < 162° < 180°, it is obtuse.
4. 32°: Since 0° < 32° < 90°, it is acute.
5. 90°: It is a right - angle.
6. 135°: Since 90° < 135° < 180°, it is obtuse.
7. 49°: Since 0° < 49° < 90°, it is acute.
8. 90°: It is a right - angle.
9. 180°: It is a straight - angle.
10. 175°: Since 90° < 175° < 180°, it is obtuse.
11. 48°: Since 0° < 48° < 90°, it is acute.
12. 20°: Since 0° < 20° < 90°, it is acute.
13. 64°: Since 0° < 64° < 90°, it is acute.
14. 80°: Since 0° < 80° < 90°, it is acute.
15. 57°: Since 0° < 57° < 90°, it is acute.

Answer:

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