Problema Solution
Two angles are supplementary. One is 48
degrees
more than three times
the other. Find the measures of the angles. Supplementary angles are angles whose sum is 180degrees
.
Answer provided by our tutors
Let
a = the measure of angle a
b = the measure of angle b
Angle a and angle b are supplementary angles:
a + b = 180
one is 48 degrees more than three times the other:
a = 48 + 3b
by solving the system of equations:
a + b = 180
a = 48 + 3b
........
click here to see the system of equations solved for a and b
........
a = 147 degrees
b = 33 degrees
The measures for the angles are 147 degrees and 33 degrees.