Can an angle have the same measure as its complement Explain?

Yes, an angle can have the same measure as its complement, but only if it measures 45 degrees. The complement of an angle ( A ) is defined as ( 90^\circ - A ). Setting these equal gives ( A = 90^\circ - A ), leading to ( 2A = 90^\circ ), which simplifies to ( A = 45^\circ ). Thus, the only angle that is equal to its complement is 45 degrees.