Angles ke types kaun se hain?
Short mein jawab
Angles size ke hisaab se group hote hain. Acute angle 0° se zyaada aur 90° se kam hota hai; right angle theek 90°; obtuse angle 90° aur 180° ke beech; straight angle theek 180°; aur reflex angle 180° aur 360° ke beech. Poora chakkar 360° hai. Right angle par milne waali lines perpendicular hoti hain.
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Poora chakkar, straight angle aur right angle
Jab Vidya kitaab haath mein pakadkar likhne ke liye cover poora peeche mod deti hai, to cover poora chakkar ghoomta hai: 360°. Jab wo kitaab mez par seedhi khol deti hai, to cover aadha chakkar ghoomta hai aur uski dono arms ek seedhi line mein aa jaati hain. Aisa angle straight angle hai: 180°.
Kaagaz ke kinaare par straight angle AOB banao aur kaagaz ko aise modo ki OB theek OA par aa jaaye. Crease straight angle ko do barabar angles mein baant deti hai. Har ek right angle hai, poore chakkar ka chauthaai: 90°. Yaani ek straight angle mein do right angles hote hain.
Right angle angrezi ke letter L jaisa dikhta hai. Right angle par milne waali do lines ek-doosre ke perpendicular hoti hain. Khidki, darwaaze, kitaab aur blackboard ke kono par right angles milte hain.
Acute aur obtuse angles
Kisi bhi angle ki tulna right angle se karo, jaise kaagaz ke kone se:
- Right angle se chhota angle, chauthaai chakkar se kam, acute angle hai.
- Right angle se bada par straight angle se chhota angle, chauthaai aur aadhe chakkar ke beech, obtuse angle hai.
Acute ka matlab nukeela aur obtuse ka matlab bhotha hai, jo inke dikhne se mel khaata hai: acute angle patla aur nukeela, obtuse angle chauda aur bhotha.
Maap ke hisaab se angles ke types
| Type | Maap | Ghumaav |
|---|---|---|
| Acute | 0° se zyaada aur 90° se kam | chauthaai chakkar se kam |
| Right | theek 90° | chauthaai chakkar |
| Obtuse | 90° se zyaada aur 180° se kam | chauthaai aur aadhe chakkar ke beech |
| Straight | theek 180° | aadha chakkar |
| Reflex | 180° se zyaada aur 360° se kam | aadhe aur poore chakkar ke beech |
| Poora chakkar | theek 360° | ek poora chakkar |
Reflex angles do arms ke bahar ki taraf ke bade angles hain. Agar do arms ek taraf 102° banaati hain, to doosri taraf ka reflex angle 360° − 102° = 258° hai.
Angle types ke saath kaam
Straight angle ka istemaal. B, E aur R ek seedhi line par hain, isliye ∠REB = 180°. Agar ∠TER = 80° hai, to ∠BET = 180° − 80° = 100°. Agar ES line ke perpendicular hai, to ∠SER = 90° aur ∠SET = 90° − 80° = 10°.
Ghadi mein angles. 12 number poore chakkar ke 360° ko 30° ke 12 barabar hisson mein baantte hain. 1 baje suiyaan 30° (acute), 3 baje 90° (right), 4 baje 120° (obtuse) aur 6 baje 180° (straight) banaati hain.
Ashoka Chakra. Iske 24 barabar door aare 360° ko 15° ke 24 hisson mein baantte hain. Do aaron ke beech sabse bada acute angle 5 × 15° = 75° hai, kyunki 6 × 15° = 90° pehle hi right angle hai.
Book ki ek paheli. Ek acute angle double, triple aur chaar guna karne par bhi acute rehta hai, par 5 guna karne par obtuse ho jaata hai. Chaar guna 90° se kam hona chahiye, isliye angle 22.5° se kam hai; paanch guna 90° se zyaada hona chahiye, isliye angle 18° se zyaada hai. Poore degrees mein ye 19°, 20°, 21° ya 22° ho sakta hai.
Kisi angle ka sahi maap nikaalne ke liye protractor use karo: dekho protractor se angle kaise naapein. Poore chapter ke liye Chapter 2 notes dekho.
Practice karo
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90° ka angle kya hai?
Jawab dekho
Jawab: (b) right
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Inme se reflex angle kaunsa hai?
Jawab dekho
Jawab: (c) 200°
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Right angle par milne waali do lines kehlaati hain:
Jawab dekho
Jawab: (b) perpendicular lines
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∠REB straight angle hai aur ∠TER = 80° hai. ∠BET nikaalo.
Jawab dekho
Jawab: ∠BET = 180° − 80° = 100°, kyunki dono angles milkar straight angle REB banaate hain.
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Ashoka Chakra mein 24 aare hain. Do paas-paas ke aaron ke beech kitna angle hai?
Jawab dekho
Jawab: 360° ÷ 24 = 15°. Do aaron ke beech sabse bada acute angle 75° (5 gap) hai, kyunki 6 gap theek 90° bana dete hain.
Students ke sawal
Angles ke paanch mukhya types kaun se hain?
Acute (0° aur 90° ke beech), right (90°), obtuse (90° aur 180° ke beech), straight (180°) aur reflex (180° aur 360° ke beech). 360° ke poore chakkar ko complete angle bhi kehte hain.
Inhe acute aur obtuse kyun kehte hain?
Acute ka matlab nukeela aur obtuse ka matlab bhotha hai. Acute angle ka khulaav patla hota hai jo nukeela dikhta hai; obtuse angle chauda khulta hai aur bhotha dikhta hai.
Reflex angle kya hai?
180° se zyaada aur 360° se kam ka angle. Har jodi arms ek taraf chhota angle aur doosri taraf reflex angle banaati hai; dono milkar 360° hote hain.
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