Find the measure of an angle with measure 8 less than the measure of its complement
Let's call the measure of the angle x. The measure of its complement, which is the angle that, when added to x, equals 90 degrees, can be represented as (90 - x).
According to the given information, the measure of the angle is 8 less than its complement. We can form the equation as follows:
x = (90 - x) - 8
Now, let's solve for x:
x = 90 - x - 8
2x = 82
x = 41
Therefore, the measure of the angle is 41 degrees.
To find the measure of an angle with measure 8 less than the measure of its complement, let's break down the problem.
First, let's define some terms:
- Complement: Two angles are complementary if their measures add up to 90 degrees.
- Measure of an angle: The degree measurement of an angle.
Let the measure of the angle be "x."
The complement of the angle is 90 - x, since the sum of the angle and its complement is 90 degrees.
Now, according to the problem, we need to find an angle whose measure is 8 less than the measure of its complement.
Mathematically, this can be expressed as:
x = (90 - x) - 8
To solve for x, let's simplify the equation:
x = 90 - x - 8
Combine like terms:
x = 82 - x
Add x to both sides of the equation:
2x = 82
Divide both sides by 2:
x = 41
Therefore, the measure of the angle is 41 degrees.