an angle is equal to one-third its complement what is the angle?

22.5 Jess is correct.

Thanks, Jess!

Not satisfied

To solve this problem, let's first understand the concept of complementary angles. Complementary angles are two angles that add up to 90 degrees.

Let's assume that the angle we are trying to find is represented by "x" degrees.

Now, we need to find its complement, which is the angle that, when added to "x", gives us 90 degrees. The complement of an angle "x" can be represented as (90 - x) degrees.

According to the given information, the angle "x" is equal to one-third its complement. Mathematically, we can represent this as:

x = (1/3) * (90 - x)

To solve this equation, let's simplify it step by step:

1. Distribute the coefficient of 1/3:

x = (1/3) * 90 - (1/3) * x

2. Multiply:

x = 30 - (1/3) * x

3. Let's bring all the terms containing "x" to one side of the equation:

x + (1/3) * x = 30

4. Combine like terms:

(4/3) * x = 30

5. Solve for x by multiplying both sides of the equation by 3/4:

x = (30 * 3) / 4

x = 90 / 4

x = 22.5 degrees

Therefore, the angle we were trying to find is 22.5 degrees.

Complementary angles = 90 degrees

x = one angle
1/3 x = other angle

x + 1/3 x = 90

Combine terms and solve for x.
Then use the above formula to find the other angle.