The measure of the supplement of an angle is three times the measure of the complement. Solve for the angle.
I just want to find the equation but I do not understand it. I know that the angle is 40 degrees. Please teach me how to find the equation
If two angles are complementary, they add to 90.
if two angles are supplementary, they add to 180.
So, if your angle is x, then its supplement is (180-x), and its complement is (90-x).
Now you can derive the needed equation and solve it.
oh, yeah. The angle is not 40°
To find the equation that represents the relationship described in the question, let's start by understanding the terms "supplement" and "complement" of an angle.
1. Supplement of an angle: The supplement of an angle is the angle that, when added to the given angle, forms a straight line (180 degrees). In other words, the supplement of angle x is (180 - x) degrees.
2. Complement of an angle: The complement of an angle is the angle that, when added to the given angle, forms a right angle (90 degrees). In other words, the complement of angle x is (90 - x) degrees.
Now, let's set up the equation based on the information given in the question:
The measure of the supplement of an angle is three times the measure of the complement.
Supplement = 3 * Complement
Using the definitions above, we can substitute the values:
(180 - x) = 3 * (90 - x)
Next, we can solve this equation for x:
180 - x = 270 - 3x
Combining like terms:
2x = 90
Dividing both sides by 2:
x = 45
So, the angle is 45 degrees, not 40 degrees as mentioned.