Mathematics

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


ANSWER

$$40^{\circ}, 140^{\circ}$$


SOLUTION
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 $$7\times { 20 }^{ \circ  }={ 140 }^{ \circ  }$$
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