TYPES OF ANGLES WORKSHEET

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

35°

85°

95°

135°

205°

180°

90°

360°

15°

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 2 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

85° ----> Acute angle

95° ----> Obtuse angle

135° ----> Obtuse angle

205° ----> Reflex angle

180° ----> Straight angle

90° ----> Right angle

360° ----> Full angle

15° ----> Acute angle

270° ----> Reflex angle

In the following answers, assume each unknown angle measure as x.

2. Answer :

4(x + 5) = 32

4x + 20 = 32

4x = 12

x = 3

Angle = 3°

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

3. Answer :

2(3x + 20) = 1024

3x + 20 = 512

3x = 498

x = 166

Angle = 166°

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

4. Answer :

5x + 2 = 1222

5x = 1220

x = 244

Angle = 244°

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

5. Answer :

5(x - 2) = 440

x - 2 = 88

x = 90

Angle = 90°

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

6. Answer :

7(3x - 5) = 3745

3x - 5 = 535

3x = 540

x = 180

Angle = 180°

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

7. Answer :

2(9x - 15) = 6450

9x - 15 = 3225

9x = 3240

x = 360

Angle = 360°

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

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