question_answer 1)

Find the angle which is equal to its complement.

Answer:

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