Question 507543
Let {{{A}}} be the angle, {{{S}}} the supplement, and {{{C}}} the complement.
By definition,
1.{{{A+C=90}}}
2.{{{A+S=180}}}
It's given that,
{{{A/S=3/7}}}
{{{3S=7A}}}
{{{S=(7/3)A}}}
From eq. 2,
{{{A+S=180}}}
{{{A+(7/3)A=180}}}
{{{(10/3)A=180}}}
{{{A=180*(3/10)}}}
{{{A=54}}}
Then from 1,
{{{A+C=90}}}
{{{54+C=90}}}
{{{C=90-54}}}
{{{C=36}}}
Then
{{{A/C=54/36=9/6=highlight(3/2)}}}