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 27°27°
B 60°60°
C 30°30°
D 45°45°
E 36°
Let the angle be X. The supplement of X is 180-X and the complement of X is 90-X.
According to the problem, 180-X = 4(90-X)
Simplifying the equation:
180-X = 360-4X
3X = 180
X = 60
Therefore, the answer is B) 60°.
Let's use the information given to form the equation. The supplement of angle X is 180 - X, and the complement of angle X is 90 - X. We are told that the supplement is four times larger than the complement, so we can write the equation:
180 - X = 4(90 - X)
Now let's solve for X:
180 - X = 360 - 4X
3X = 180
X = 60
So the angle X is 60 degrees, and the correct answer is B.