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.
    
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°
    
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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