Problema Solution
find the measure of an angle such that the sum of the measures of its complement and its supplement is 120
Answer provided by our tutors
let 'x' be the angle
the complement of x is: 90 - x
the supplement of x is: 180 - x
the sum of the measures of its complement and its supplement is 120:
90 -x + 180 - x = 120
by solving we find
270 - 2x = 120
2x = 50
x = 25 degrees
the angle is 25 degrees.