One angle isless than four times another. Find the measure of each angle if they are complements of each other.
A<4B
A+B=90
A-90=-B
90-A=B
A<4(90-A) add 4A to each side
5A<360
A<72
B= 90-A or
B>90-72
I'm so confused??
To solve this problem, we can start by setting up equations based on the given information.
Let's assume that the measure of one angle is represented by 'x'. Since one angle is less than four times another, we can represent the other angle as '4x'.
We are also given that the angles are complements of each other. Complementary angles add up to 90 degrees. Therefore, we can set up the following equation:
x + 4x = 90
Combining like terms, we have:
5x = 90
To solve for 'x', we divide both sides of the equation by 5:
x = 90/5
x = 18
Now that we have the value of 'x', we can substitute it back into our equation to find the measure of each angle:
One angle = x = 18 degrees
Other angle = 4x = 4 * 18 = 72 degrees
Therefore, the measure of each angle is 18 degrees and 72 degrees.