Question

One angle is equal to three times of its supplement.The measure of the angle is:

• A. ${130}^0$
• B. ${135}^0$
  
• C. ${90}^0$
  
• D. ${120}^0$

Answer 1

The correct option is B

${135}^0$

Let required angle = x
Then its supplement = $({180}^0-x)$
$\therefore x=3({180}^0-x)={540}^0-3x$
$\Rightarrow x+3x={540}^0$
$\Rightarrow 4x={540}^0$
$\Rightarrow x=\frac{{540}^0}{4}={135}^0$
$\therefore$ Required angle ${135}^0$