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 pair of angles.

• A. No, there exists no such pair of angles.
• B. Yes, 45^o
• C. Yes, 30^o
• D. Yes, 15^o

Answer 1

The correct option is B

Yes, 45^o

Two Angles are Complementary when they add up to 90 degrees. They don't have to be next to each other, as long as the total is 90${}^{\circ }$.
Yes, it is possible to have such pair of angles that will sum to ${90}^{\circ }$.
Let the angle be x

So, x + x = ${90}^{\circ }$
2x = ${90}^{\circ }$
x = $\frac{{90}^{\circ }}{2}={45}^{\circ }$