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

X = measure of angle complement: 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