Question 668652
"The ratio of the measure of an angle to is complement is 3:2. Find the measure of the angles." 
:
Let a = the measure of the angle
then
(90-a) = it's complement
:
{{{a/((90-a))}}} = {{{3/2}}}
cross multiply
2a = 3(90-a)
2a = 270 - 3a
2a + 3a = 270
5a = 270
a = 270/5
a = 54 degees
:
You can check this in the original equation