Question 663821
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Hi,
 The measures of two angles {{{highlight(x)}}}and {{{highlight(y)}}}are in the ratio 5:3. {{{5/3=x/y}}} 0r {{{y = (3/5)x}}}
The measure of the larger angle{{{highlight(x)}}} is 30 greater then half the difference of the angles.
Question states*** 
  {{{x = 30 + (x-y)/2}}}
{{{x = 30 + (x-(3/5)x)/2 = 30 +(2/5)x/2 = 30 + 2x/10}}}
  {{{x = 30 + 2x/10}}}
0r
    10x = 300 + 2x
     8x = 300
      x = 37.5  y = 22.5
and...
{{{5/3 = 37.5/22.5 = 5*(7.3)/3*(7.3)}}}