An angle is 25 degree less than the complement find its measure
To find the measure of an angle that is 25 degrees less than its complement, we first need to understand what the complement of an angle is.
The complement of an angle is the angle that, when added to the original angle, forms a right angle, which measures 90 degrees.
Let's assume that the original angle is represented by "x". The complement of the angle, therefore, can be represented as (90 - x).
We are given that the angle is 25 degrees less than its complement. Mathematically, this can be expressed as:
x = (90 - x) - 25
Now, we can solve this equation to find the measure of the angle:
x = 90 - x - 25 [Distribute the negative sign]
2x = 90 - 25 [Combine like terms]
2x = 65
x = 65/2
x = 32.5
Therefore, the measure of the angle is 32.5 degrees.
Let the angle be A, in degrees. The complement of A is 90 - A
90 - A - A = 25
65 = 2 A
A = 32.5 degrees