Mathematics

Two complementary angles are in the ratio $$1:9$$. The angles are:


ANSWER

$$9^\circ,\, 81^\circ$$


SOLUTION
Let the angles be $$x$$ and $$9x$$
Sum of complementary angles is $$90^{ \circ  }$$
$$\Rightarrow x+9x={ 90 }^{ \circ  }\\ \Rightarrow 10x=9{ 0 }^{ \circ  }\\ \Rightarrow x=9^{ \circ  }$$
So the angles are 
$$1\times 9^{ \circ  }=9^{ \circ  }\\ 9\times 9^{ \circ  }=81^{ \circ  }$$
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