Question

Find the measure of the complementary angle of ${90}^{\circ }$.

• A. $0^{\circ }$
• B. ${45}^{\circ }$
• C. ${90}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is A $0^{\circ }$

The pair of angles is said to be complementary, when their sum is ${90}^o$.

Let $x,y$ be any two complementary angles and $\left(\angle x\right)={90}^o$

$⟹\left(\angle x\right)+\left(\angle y\right)={90}^o$ ........ (By definition of complementary angles)

$⟹{90}^o+\left(\angle y\right)={90}^o$

$⟹\left(\angle y\right)=0^o$.

Hence, measure of complementary angle of ${90}^o$ is $0^o$.

Hence, option $A$ is correct.