Let's define the following variable.
x = the complement of the angle
8x = the angle
Find: the measure of the angle 8x.
Solution:
We know that the sum of the two angles that are complement to each other is 90 degrees. Hence, we can say that:
Using the equation above, let's solve for the value of x.
The value of x is 10.
If x is 10, then 8x = 8 x 10 = 80.
Answer:
The measure of the angle that is eight times its complement is 80 degrees.