in the fig. if x+y=w+z then prove that AOB is a line ​

Question

in the fig. if x+y=w+z then prove that AOB is a line ​

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Clara 3 weeks 2021-11-07T10:05:30+00:00 2 Answers 0 views 0

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    0
    2021-11-07T10:07:05+00:00

    Answer:

    x+y+w+z=360

    But x+y=w+z

    ∴ x+y+x+y=360

    2(x+y)=360

    x+y=180

    ∴ AOB is a line

    0
    2021-11-07T10:07:16+00:00

    Answer:

    if x+y=w+z

    (x+y)+(x+y)=360°(because x+y=w+z)

    2xy=360°

    xy=360°/2

    xy=180°

    AOB=180°(Hence,it is a straight line ).

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