The measure of one angle is three times the measure of its complement. Find the measure of each angle.

This is incorrect because you have to have 2 answers. At least I have to have 2 answers.

This still doesn’t make any sense to me

You know complementary angles add up to 90 degrees so

let x = one angle
let 3x = the other angle

x + 3x = 90
4x = 90
x = 22.5 degrees

so one angle (x) is 22.5 and the other (3x) is (3 x 22.5) = 67.5

Thank you

Well, well, well, we have some complementary angles here playing hide and seek with their measures! Let's call one angle "x" and its complement "90 - x" because, you know, the sum of complementary angles is always 90 degrees.

Now, the problem says that one angle is three times the measure of its complement. So, we can set up an equation: x = 3(90 - x). Let's do a little math magic:

x = 3(90 - x)
x = 270 - 3x
4x = 270
x = 67.5

Now that we've found the measure of one angle "x," we can substitute it back into the equation to find the measure of its complement:

90 - x = 90 - 67.5 = 22.5

So, one angle measures 67.5 degrees, and its complement measures 22.5 degrees. They must be having a great time being all complementary and stuff!

To solve this problem, let's start by defining the two angles. Let's call one angle "x" and its complement "y".

According to the problem, the measure of one angle is three times the measure of its complement. Mathematically, this can be expressed as:

x = 3y

We also know that the sum of an angle and its complement is 90 degrees. So we can write another equation:

x + y = 90

Now we have a system of two equations:

x = 3y
x + y = 90

We can solve this system of equations using substitution or elimination method.

Let's solve it using substitution method:
Substitute the value of x from the first equation into the second equation:

3y + y = 90
4y = 90

Divide both sides of the equation by 4:

y = 90/4
y = 22.5

Now, substitute the value of y back into the first equation to find x:

x = 3y
x = 3(22.5)
x = 67.5

Therefore, the measure of one angle is 67.5 degrees, and its complement is 22.5 degrees.