Problema Solution
If the measure of one of two complementary angles is 22 more than three times the measure of the other, find the measure of each angle.
Answer provided by our tutors
let 'x' and 'y' represent the complementary angles
Complementary angles are two angles whose measures add up to 90 degrees thus:
x + y = 90
one of two complementary angles is 22 more than three times the measure of the other:
y = 22 + 3x
by solving the system of equations:
x + y = 90
y = 22 + 3x
we find:
x = 17 degrees
y = 73 degrees
click here to see the step by step solution of the system of equations:
the measures of the two angles are 17 degrees and 73 degrees.