To find the measure of an angle that is equal to its complement, we start by defining what a complement is. The complement of an angle is what, when added to the angle, equals 90 degrees. Let’s denote the angle we are trying to find as x.
According to the problem, this angle x is equal to its complement. Therefore, we can set up the equation:
x + x = 90
This simplifies to:
2x = 90
Now, we solve for x by dividing both sides by 2:
x = 90 / 2
x = 45
Thus, the measure of the angle is 45 degrees. To verify, we can check that the complement of 45 degrees is also 45 degrees, since:
90 – 45 = 45
This confirms our solution is correct. Therefore, the angle that is equal to its complement measures 45 degrees.