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Question

If two supplementary angles are in the ratio 2 : 7, then the angles are :


A
35,145
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B
70,110
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C
40,140
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D
50,130
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Solution

The correct option is B $$40^{\circ}, 140^{\circ}$$
Let the angles be $$2x$$ and $$7x$$
Angles are given supplementary
$$2x+7x={ 180 }^{ \circ  }\\ 9x={ 180 }^{ \circ  }\\ x={ 20 }^{ \circ  }$$
So the angles are $$2\times { 20 }^{ \circ  }={ 40 }^{ \circ  }$$ and $$7\times { 20 }^{ \circ  }={ 140 }^{ \circ  }$$

Mathematics

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