Geometry
posted by Megan on .
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

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.