Question

the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle find the measure of the angle

Answer 1

X = Comp,
2x + 40 = supp,

1. A + X = 90,
A = 90 - X,

2. A + (2X + 40) = 180,
Substitute 90 - x for A:
(90 - X) + (2X + 40) = 180,
-X + 2X + 90 + 40 = 180,
X + 130 = 180,
X = 180 - 130,
X = 50,

Substitute 50 for x in Eq 1:
A + 50 = 90,
A = 90 - 50,

A = 40.

Answer 2

X=Complement
2X+40=Supplement
Y=Angle

X+Y=90
Y=-X+90

-X+90+2X+40=180
X+130=180
-130 -130
X=50
Y=-50+90
Y=40
The angle is 40°