Mathematics

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

##### SOLUTION
Let one angle be $y$.
As we know, the linear pair consists of two angles.
$\therefore 180^o-y$
$ACQ$,
$\Rightarrow y=\dfrac{1}{3}(180^o-y)$
$\Rightarrow 3y=180^o-y$
$\Rightarrow 3y=180^o$
$\Rightarrow y=\dfrac{180^o}{4}$
$\Rightarrow y=45^o$
Therefore, one angle is $45$ degrees and other is $135$ degrees.
$\Rightarrow 180^o-45^o=135^o$

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Subjective Medium Published on 09th 09, 2020
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