Question

Two angles are supplementary and one angle is twice the other angle then, find the both angles.

• A. ${110}^o,{55}^o$
• B. ${60}^o,{120}^o$
• C. ${70}^o,{140}^o$
• D. ${45}^o,{90}^o$

Answer 1

The correct option is B ${60}^o,{120}^o$

Let one angle be $x^o$
then other angle is ${2x}^o$ (As twice of one angle)
Since two angles are supplementary
$x^o+{2x}^o={180}^o$
${3x}^o={180}^o$
$x=\frac{180}{3}={60}^o$
One angle is ${60}^o$,
Other angle ${2x}^o=2\times {60}^o={120}^o$