Question

Four times the complement increased by forty-six is the same as twice the supplement. find the measures of the angle, the complement, and the supplement

Answer 1

X = measure of anglecomplement: 90 -x
supplement: 180 - x

Four times the complement increased by forty-six = 4(90-x) + 46
twice the supplement: 2(180 - x)
so
Four times the complement increased by forty-six is the same as twice the supplement

 4(90-x) + 46  = 2(180 - x)
360 - 4x + 46 = 360 - 2x
                 2x = 46
                   x = 23

answer

measure of angle x = 23
measure of complement = 90 - 23 = 67
measure of supplement = 180 - 23 = 157