Question
Find the measure of an angle which is: Equal to its complement.
✓
Answer
Let the measure of the required angle be $x^{\circ}$.
Then, in case of complementary angle: $x+x=90^{\circ} $
$\Rightarrow 2 x=90^{\circ} $
$\Rightarrow x=45^{\circ}$
Hence, measure of the angle that is equal to its complement is $45^{\circ}$.
Then, in case of complementary angle: $x+x=90^{\circ} $
$\Rightarrow 2 x=90^{\circ} $
$\Rightarrow x=45^{\circ}$
Hence, measure of the angle that is equal to its complement is $45^{\circ}$.
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