Mathematics

The complementary angles are in the ratio 1 : 5. Find the measures of the angles :


ANSWER

15, 75


SOLUTION
Let the angles be $$x$$ and $$5x$$
Angles are complementary then their sum is $${ 90 }^{ \circ  }$$
$$\Rightarrow x+5x={ 90 }^{ \circ  }\\ \Rightarrow 6x={ 90 }^{ \circ  }\\ \Rightarrow x={ 15 }^{ \circ  }$$
So the angles are
$$1\times { 15 }^{ \circ  }={ 15 }^{ \circ  }\\ 5\times { 15 }^{ \circ  }={ 75 }^{ \circ  }$$
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