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Question

Two angles are making a linear pair. If one of them is one-third of the other, then find the angles.


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Solution


Let one angle be x. It is given that the other angle is one-third of first.
So, other angle will be 13x.
Again given that both the angle are making a linear pair so their sum will be 180
x+13x=1803x+x3=1804x3=180x=180×34x=135
Hence, the angles are 135and 13×135, i.e. 135and 45


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