The degree measure of an angle is 15 more than twice the measure of its complement. Find the measure of the angle and its comlement.
it’s 30
To find the measure of the angle and its complement, let's assume that the measure of the angle is "x" degrees.
The complement of an angle is the difference between 90 degrees and the angle itself. So, the complement of the angle will be (90 - x) degrees.
Given that the degree measure of the angle is 15 more than twice the measure of its complement, we can form the following equation:
x = 2(90 - x) + 15
Now, let's solve this equation to find the value of x:
x = 2(90 - x) + 15
x = 180 - 2x + 15
x + 2x = 195
3x = 195
x = 195 / 3
x = 65
Therefore, the measure of the angle is 65 degrees.
To find the complement, we can substitute the value of x back into the equation for the complement:
Complement = 90 - x = 90 - 65 = 25
Hence, the measure of the angle is 65 degrees, and its complement is 25 degrees.