SOLUTION: Translate to a system of equations and solve. The difference of two complementary angles is 27 degrees. Find the measures of the angles (in degrees). smaller angle- larger

Algebra ->  Human-and-algebraic-language -> SOLUTION: Translate to a system of equations and solve. The difference of two complementary angles is 27 degrees. Find the measures of the angles (in degrees). smaller angle- larger      Log On


   



Question 1190809: Translate to a system of equations and solve.
The difference of two complementary angles is 27 degrees. Find the measures of the angles (in degrees).
smaller angle-
larger angle-

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=90 definition of complementary angle
a-b=27
add them
2a=117
a=58.5 degrees
b=31.5 degrees