Mathematics

If two supplementary angles are differ by $\displaystyle 44^{\circ}$, then one of the angle is _______.

$\displaystyle 112^{\circ}$

SOLUTION
Let the angles be $x$ and $y$
Given $x-y={ 44 }^{ \circ }.....(i)$
Sum of supplementary angles is ${ 180 }^{ \circ }$
$x+y={ 180 }^{ \circ }......(ii)$
Solving $(i)$ and $(ii)$
$\Rightarrow x=112^{ \circ },y={ 68 }^{ \circ }$
So option $C$ is correct.

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Single Correct Medium Published on 09th 09, 2020
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