Question

The complement of $({90}^{\circ }-a)$ is :

• A. -a
• B. $({90}^{\circ }+a)$
• C. $({90}^{\circ }-a)$
• D. a

Answer 1

The correct option is D a

Let the complement be $x$

Sum of complementary angles is ${90}^{\circ }$

$\Rightarrow x+{(90-a)}^{\circ }={90}^{\circ }\Rightarrow x-a={90}^{\circ }-{90}^{\circ }\Rightarrow x=a$

So the complement is $a$