Question

The sum of the measures of two complementary angles exceeds the difference of their measure by 86º. Find the measure of each angle.
(For any of you who don't know, complementary means 2 angles that sum together to equal 90º)

Answer 1

We will translate the given statement in the problem into 
x + y  = 90 
x - y =  90 - 86 = 4 where x and y are the angles that are complementary. solving simultaneously, x = 47 degreesy = 43 degrees.