Question

The supplementry angle of an angle is one third of itself. Then the angle of its supplement are

• A. ${135}^0,{45}^0$
• B. ${60}^0,{80}^0$
• C. ${120}^0,{360}^0$
• D. ${60}^0,{120}^0$

Answer 1

The correct option is A ${135}^0,{45}^0$

Let one angle be $x^o$. Then, another angle is ${\frac{x}{3}}^o$.

Thus, $x+\frac{x}{3}={180}^o$

$4x=180\times 3$

$x=\frac{180\times 3}{4}={135}^o$

Thus, the required angles are ${135}^o,{45}^o$.