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 $=$ $\dfrac{7}{12} \times 180^o$

$75$

##### 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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