CLASSIFYING ANGLES WORKSHEET

1. Classify the angles as acute, right, obtuse straight, reflex or full angle :

35°

135°

205°

180°

90°

360°

270°

2. If 4 times the sum of an angle and 5 is 32°, find the type of the angle.

3. If 2 times the sum of 3 times of an angle and 20 is 1024°, find the type of the angle.

4. If the sum of 5 times of an angle and 2 is 1222°, find the type of the angle.

5. If 5 times the difference between an angle and 22 is 440°, find the type of the angle.

6. If 7 times the difference between 3 times of an angle and 5 is 3745°, find the type of the angle.

7. If 2 times the difference between 9 times of angle and 15 is 6450°,  find the type of the angle.

Classify and write the angles as acute, obtuse and right angle.

8.

classifying-types-of-angles-q1.png

9.

classifying-types-of-angles-q2.png

10.

classifying-types-of-angles-q3.png

11. Classify the following angles (acute angle, obtuse angle and right angle)

30°, 45°, 60°, 90°, 120°, 130°, 170°, 75°

12. The angles below 90° and above 0° are called as ________

13. The angles belo 180° awnd above 90° are called as _________

14. _________ angle is formed by combining two consecutive right angles.

15. Which of the following is obtuse angle in triangle ABC ?

classifying-types-of-angles-q4.png

a) A    b) B     c)  C    d) none of these

16. Hands of a clock at 2 hours shows _____ angle.

17. Which of the following alphabets has a right angle in it ?

a)  L    b)  K     c)  Z     d) N

18. Can a right-angled triangle have an obtuse angle?

True/False

19. An isosceles triangle can have a right-angled triangle. True/False

1. Answer :

35°  ---> Acute angle

135°  ---> Obtuse angle

205°  ---> Reflex angle

180°  ---> Straight angle

90°  ---> Right angle

360°  ---> Full angle

270°  ---> Reflex angle

2. Answer :

Let a be the required angle.

4(a + 5) = 32

4a + 20 = 32

4a = 12

a = 3

Angle = 3°

Since 3° is less than 90°, the type of the angle is acute angle.

3. Answer :

Let b be the required angle.

2(3b + 20) = 1024

3b + 20 = 512

3b = 498

b = 166

Angle = 166°

Since 166° is greater than 90° but less than 180°, the type of the angle is obtuse angle.

4. Answer :

Let c be the required angle.

5c + 2 = 1222

5c = 1220

c = 244

Angle = 244°

Since 244° is greater than 180° but less than 360°, the type of the angle is reflex angle.

5. Answer :

Let d be the required angle.

5(d - 2) = 440

d - 2 = 88

d = 90

Angle = 90°

Since the angle is exactly 90°, the type of the angle is right angle.

6. Answer :

Let e be the required angle.

7(3e - 5) = 3745

3e - 5 = 535

3e = 540

e = 180

Angle = 180°

Since the angle is exactly 180°, the type of the angle is straight angle.

7. Answer :

Let f be the required angle.

2(9f - 15) = 6450

9f - 15 = 3225

9f = 3240

f = 360

Angle = 360°

Since the angle is exactly 360°, the type of the angle is full angle. 

8. Answer :

classifying-types-of-angles-q1.png

The angle measure shown is lesser than 90 degree, then the given angle measure is acute angle.

9. Answer :

classifying-types-of-angles-q2.png

The angle measure shown is greater than 90 degree, then the given angle measure is obtuse angle.

10. Answer :

classifying-types-of-angles-q3.png

The shown angle measure is exactly 90 degree, then it is right angle.

11. Answer :

30° ==> Acute angle

45° ==> Acute angle

60°==> Acute angle

90° ==> Right angle

120°==> Obtuse angle

130° ==> Obtuse angle

170° ==> Obtuse angle

75° ==> Acute angle

12. Answer :

The angle which is greater than 0 and lesser than 90 degree, it is called acute angle.

13. Answer :

13. The angle which is greater than 90 and lesser than 180 degree, it is called obtuse angle.

14. Answer :

Sum of two right angles = 180 degree

Straight angle is formed by combining two consecutive right angles.

15. Answer :

classifying-types-of-angles-q4.png

a) A = acute angle

b) B = acute angle

c)  C = obtuse angle

So, answer is option c.

16. Answer :

The complete angle is 360 degree.

= 360/12

= 30

Angle between two consecutive numbers in the clock is 30 degree.

Angle between 12 and 2 is 60 degree, it is lesser than 90 degree.

Hands of a clock at 2 hours shows acute angle.

17. Answer :

Which of the following alphabets has a right angle in it ?

a)  L    b)  K     c)  Z     d) N

Option a, L creates right angle.

18. Answer :

Can a right-angled triangle have an obtuse angle?

Only one right angle will be there in any triangle, the other angles will be acute angle. So, the result is false.

True/False

19. Answer :

In any isosceles triangle, it can be a right-angled triangle.  So, the answer is true.

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