Question

If an angle is its own complementary angle, then its measure is _________.

• A. ${30}^o$
• B. ${45}^o$
• C. ${60}^o$
• D. ${90}^o$

Answer 1

Answer: (B)

${45}^o$

Let the angle be $X$

It is given that $X$ is its own complementary angle.

$\Rightarrow X+X={90}^{\circ }$

$\Rightarrow 2X={90}^{\circ }$

$\Rightarrow X={45}^{\circ }$

Answer is ${45}^{\circ }$

Option B is correct.