Problema Solution
Two angles are supplementary, and one is 40 degrees more than three times the other. Find the smaller angle
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 40 degrees more than three times the other:
a = 40 + 3b
by solving the system of equations:
a + b = 180
a = 40 + 3b
we find:
a = 145 degrees
b = 35 degrees
click here to see the step by step solution of the system of equations:
the smaller angle is 45 degrees.