Mathematics

Two complementary angles differ by 20. Find the measure of each angle .


SOLUTION
We know that 
Sum of measures of two complementary angles= 90
$$\implies\, x+y= 90 .....(i)$$
But we are given $$x-y=20 .....(ii)$$
$$2x= 110$$     [On comparing (i) and (ii)]
$$\implies\, x= 55$$
Now, $$x+y= 90$$
$$\implies\, y= 90 - x$$
$$\implies\, y= 90 - 55=35$$
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