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.

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. 

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