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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