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Find the angle which is equal to its complement.
To do:
We have to find the angle which is equal to its complement.
Solution:
Two angles are said to be complementary if the sum of their measures is $90^o$.
Let the required angle be $x^{\circ}$
This implies,
Its complement$=(90-x)^{\circ}$
Therefore,
$(90-x)^{\circ}=x^{\circ}$
$(x+x)^{\circ}=90^{\circ}$
$2x^{\circ}=90^{\circ}$
Therefore,
$x=\frac{90^{\circ}}{2}$
$x=45^{\circ}$
Hence, the angle which is equal to its complement is $45^{\circ}$.
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