Question

In the given figure AOB is a straight line. $\angle AOC=3x,\angle BOC=2x$. The value of x is

• A. ${25}^{\circ }$
• B. ${36}^{\circ }$
• C. ${30}^{\circ }$
• D. ${40}^{\circ }$

Answer 1

Answer: (B)

${36}^{\circ }$

$\because$ AOB is a straight line, $\angle AOC={180}^{\circ }$

$\therefore 3x+2x={180}^{\circ }$

$\Rightarrow 5x={180}^{\circ }$

$\Rightarrow x={36}^{\circ }$