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In Fig. 6.13, lines AB and CD intersect at O. If AOC +BOE = 70° and BOD = 40°, find BOE and reflex COE. Q.1

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Hello sir i want to know the best solution of the question from exercise 6.1of math of Lines and Angles chapter of class 9th give me the best and easy for solving this question how i solve it of question no.1 In Fig. 6.13, lines AB and CD intersect at O. If AOC +BOE = 70° and BOD = 40°, find BOE and reflex COE

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  1. From the diagram, we have

    (∠AOC +∠BOE +∠COE) and (∠COE +∠BOD +∠BOE) forms a straight line.

    So, ∠AOC+∠BOE +∠COE = ∠COE +∠BOD+∠BOE = 180°

    Now, by putting the values of ∠AOC + ∠BOE = 70° and ∠BOD = 40° we get

    ∠COE = 110° and ∠BOE = 30°

    So, reflex ∠COE = 360o – 110o = 250o

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