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°