Two angles are complementary if the sum of their measures is 90 degrees. Find two complementary angles such that one of the angles is 141 degrees less than 2 times the other angle. (Round to two decimal places if necessary.)

Question

Two angles are complementary if the sum of their measures is 90 degrees.  Find two complementary angles such that one of the angles is 141 degrees less than 2 times the other angle.  (Round to two decimal places if necessary.)

anonymous · Answer

Let one angle be x

Other angle = 2x-141

And we know, x + (2x - 141) = 90
3x = 231
x = 77
y= 90-77 = 13