Question 815488
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Hi,
The ratio of the measure of two complementary angles is 5:4 
Let 5x and 4x represent the measure of the angles
what is the measure of the larger angle
{{{5x+4x = 90}}}
    9x = 90
     x = 10°, 5x = 50° , the larger angle
CHECKING our answer*** (4x = 40°)
   50° + 40° = 90°
and 50°/40° = 5/4