ਦਿੱਤੇ ਚਿੱਤਰ ਵਿੱਚ ਰੇਖਾਵਾਂ AB ਅਤੇ CD ਬਿੰਦੂ O ਤੇ ਕੱੱਟਦੀਆਂ ਹਨ ਜੇਕਰ ∠AOC + ∠BOE =70˚ ਹੈ ਅਤੇ ∠BOD =40˚, ਤਾਂ, ∠COE ਪਤਾ ਕਰੋ। In fig. given Line AB and CD intersect at O. If ∠AOC + ∠BOE =70˚ and ∠BOD =40˚, Find ∠COE . दिए गए चित्र में, रेखा AB और CD, O पर काटती है। यदि ∠AOC + ∠BOE =70˚ और ∠BOD =40˚ है, तो ∠COE पता करे । *

70˚
80˚
100˚
110˚
Answers
Answered by
10
Answer:
70°
Step-by-step explanation:
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Answered by
0
Question :-
In figure, lines AB and CD intersect at 0. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.
Answer :-
Since AB is a straight line,
∴ ∠AOC + ∠COE + ∠EOB = 180°
or (∠AOC + ∠BOE) + ∠COE = 180° or 70° + ∠COE = 180° [ ∵∠AOC + ∠BOE = 70° (Given)]
or ∠COE = 180° – 70° = 110°
∴ Reflex ∠COE = 360° – 110° = 250°
Also, AB and CD intersect at O.
∴∠COA = ∠BOD [Vertically opposite angles]
But ∠BOD = 40° [Given]
∴ ∠COA = 40°
Also, ∠AOC + ∠BOE = 70°
∴ 40° + ∠BOE = 70° or ∠BOE = 70° -40° = 30°
Thus, ∠BOE = 30° and reflex ∠COE = 250°.
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