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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