Problema Solution
The sum of the measures of two complementary angles is 90°. If one angle measures 9° more than twice the measure of the other, find the measure of the smaller angle.
Answer provided by our tutors
let 'x' and 'y' be the complementary angles we are looking for
x + y = 90
one angle measures 9° more than twice the measure of the other
x = 9 + 2*y
by solving the system of equations
x + y = 90
x = 9 + 2*y
we find
x = 63°
y = 27°
the smaller angle is 27°.