Question

The difference of two complementary angles is ${40}^o$. Then the angles are :-

• A. 65°, 25°
• B. 70°, 20°
• C. 70°, 30°
• D. 60°, 30°

Answer 1

The correct option is A

65°, 25°

Let one angle be x.

So, x - (90${}^{\circ }$- x) = 40${}^{\circ }$

x - 90${}^{\circ }$ + x = 40${}^{\circ }$

2x = 130${}^{\circ }$

x = 65${}^{\circ }$

So, angles are 65${}^{\circ }$ and 25${}^{\circ }$.