Mathematics

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


ANSWER

$$\displaystyle 112^{\circ}$$


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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