Question

Sunita knows that the sum of complementary angles is equal to ${90}^{\circ }$. She thinks that there can be a pair of complementary angles such that both of them are equal. Is she correct? If yes, then find such a pair of angle.

• A. No, there exist no such pair of angles.
• B. Yes, ${45}^{\circ }$
• C. Yes, ${30}^{\circ }$
• D. Yes, ${15}^{\circ }$

Answer 1

The correct option is B

Yes, ${45}^{\circ }$

Yes, it is possible to have such pair of angle that will add to ${90}^{\circ }$. Let the angle be x

So, x + x = ${90}^{\circ }$

x = ${45}^{\circ }$