Answer:
Let the angle be \[{{x}^{o}}\]. Its complement \[={{90}^{o}}-{{x}^{o}}\] According to the question, \[{{x}^{o}}={{90}^{o}}-{{x}^{o}}\] \[\Rightarrow \] \[{{x}^{o}}+{{x}^{o}}={{90}^{o}}\] \[\Rightarrow \] \[2{{x}^{o}}={{90}^{o}}\] \[\Rightarrow \] \[{{x}^{o}}=\frac{{{90}^{o}}}{2}={{45}^{o}}\]
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