Question

In the given figure, $\angle AOCand\angle BOC$ form a linear pair. Determine the value of x.

• A. ${45}^{\circ }$
• B. ${35}^{\circ }$
• C. ${30}^{\circ }$
• D. None of these

Answer 1

The correct option is C

${30}^{\circ }$

Since $\angle AOCand\angle BOC$ form a linear pair
$\therefore \angle AOC+\angle BOC={180}^{\circ }$
$\Rightarrow 4x+2x={180}^{\circ }$
$\Rightarrow 6x={180}^{\circ }$
$\Rightarrow x=\frac{180}{6}={30}^{\circ }$