# Recall that two angles are complementary if the sum of their measures is 90 degrees. Find the measures of two complementary angles if one angle is 5 degrees more than four times the other angle?

May 9, 2018

If one angle is $x$ then the other would be $4 x + 5$
As they are complementary $x + 4 x + 5 = 90$
So $5 x = 85$
$x = 17$
$4 \times 17 + 5 = 73$