Mathematics

Two supplementary angles are in the ratio $$5:7$$. Find the smallest angle.
$$1^{st}$$ angle $$=$$ $$\dfrac{5}{12} \times 180^o$$ and 
$$2^{nd}$$ angles $$=$$ $$\dfrac{7}{12} \times 180^o$$


ANSWER

$$75$$


SOLUTION
Sum of supplementary angles $$={ 180 }^{ o }$$  
Given two supplementary angles are in the ratio $$ 5:7$$. 
$$1^{st}$$ angle $$=\dfrac { 5 }{ 12 } \times { 180 }^{ o }=5\times 15={ 75 }^{ o }$$
$$ 2^{nd}$$ angle $$=\dfrac { 7 }{ 12 } \times { 180 }^{ o }=7\times 15={ 105 }^{ o }
$$
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