Asked by Megan

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

Answers

Answered by Henry
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.

Answered by Jacob
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°
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