The measure of the compliment of an angle is 1/9th the measure of the angle. Find the measure of the angle
do 1/9th of 90 degrees and then subtract that from 90 degrees
is it that simple? is there a formula like x + something?
90º - 90º/9 = xº
To find the measure of the angle, let's assume the angle is x degrees.
According to the given information, the measure of the complement of the angle is 1/9th the measure of the angle. The complement of an angle is the angle that, when added to the given angle, forms a 90-degree angle.
So, the measure of the complement of the angle can be written as 1/9 * x degrees.
Since the sum of an angle and its complement is 90 degrees, we can set up the equation:
x + (1/9)x = 90
Now, let's solve the equation to find the value of x.
First, we need to combine like terms:
(1 + 1/9)x = 90
Next, simplify the left side of the equation:
(10/9)x = 90
To isolate x, divide both sides of the equation by (10/9):
x = 90 / (10/9)
Dividing by a fraction is the same as multiplying by its reciprocal:
x = 90 * (9/10)
Now, multiply the numbers:
x = 810/10
Simplifying the fraction:
x = 81
Therefore, the measure of the angle is 81 degrees.