The supplement of an angle X is four times as large as the complement of the angle. Write an equation to find X.
Responses
A 30°
B 60°
C 45°
D 27°
E 36°
Let X be the angle. Then, the supplement of the angle is 180 - X and the complement of the angle is 90 - X.
According to the problem, the supplement of the angle is four times as large as the complement of the angle:
180 - X = 4(90 - X)
Simplifying and solving for X:
180 - X = 360 - 4X
3X = 180
X = 60°
Therefore the answer is B) 60°.