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 45°45°
B 30°30°
C 60°60°
D 36°36°
E 27°
Let's first define the supplement and complement of an angle.
- The supplement of an angle is the angle that when added to the given angle, yields a sum of 180 degrees.
- The complement of an angle is the angle that when added to the given angle, yields a sum of 90 degrees.
Now, let's use the given information to form an equation to find X.
We know that the supplement of X is four times as large as the complement of X.
Supplement of X = 180 - X
Complement of X = 90 - X
According to the problem statement:
180 - X = 4(90 - X)
Simplifying this equation:
180 - X = 360 - 4X
3X = 180
X = 60
Therefore, the answer is C) 60 degrees.