Question

If  two supplementary angles are in the ratio 2:3 then the complement of smaller angles is  ​

Answer 1

Step-by-step explanation:

$supplementary \: angles \: add \: up to 180</p><p></p><p> \\ let \: the \: angles \: are \: in \: ratio \: 2:3</p><p></p><p> \\ 2:3→2+3=5 \: parts</p><p></p><p> \\ 5 parts = {180}^{0} </p><p></p><p> \: \\ 1 part = \frac{180}{5} = {36}^{0} </p><p></p><p> \\ 2:3: \: :2×36: \: 3× 36</p><p></p><p> \\ : \: : {72}^{0} : {108}^{0} </p><p></p><p>$

The answer is 72° : 108°

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