Question

Given $\angle POR=3xand\angle QOR=2x+{10}^0$. If POQ is a striaght line, then the value of x is:

• A. ${30}^0$
• B. ${34}^0$
  
• C. ${36}^0$
• D. None of these

Answer 1

The correct option is B

${34}^0$

POQ is a straight line
$\therefore \angle POR+\angle QOR={180}^0$ (Linear pair)
$\Rightarrow 3x+2x+{10}^0={180}^0$
$\Rightarrow 5x={180}^0-{10}^0={170}^0$
$\therefore x=\frac{{170}^0}{5}={34}^0$