Question 664915
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Hi,
angle {{{highlight(x)}}}
Its complement {{{highlight(90-x)}}}
Its supplement {{{highlight(180-x)}}}
Question states*** measure of the supplement of an angle <u>is</u> 5 times that of its complement
   (180-x) = 5(90-x)
 180-x = 450 - 5x
     4x = 270
      x = 67.5°   and  Its complement: {{{90-67.5}}} = 22.5° 
and...
{{{180-67.5 = 112.5 = 5*22.5}}}

complementary Angles {{{highlight(x)}}}and{{{highlight(90-x)}}}
one of two complementary angles is two more than one third of the other. 
Find the two angles
(90-x) = x/3 +2   ||Solve for angle x and determine its complement (90-x)