Question

The value of $2x$ in the given figure is ________.

• A. 3
• B. 6
• C. 9
• D. 0.0

Answer 1

The correct option is B 6

$\text{In}\Delta AOC\text{and}\Delta AOB,OC=OB\text{(Given)}\angle OBA=\angle OCA={90}^{\circ }\text{(Given)}AO=OA\text{(common side)}\text{Hence, by RHS congruency criterion,}$
$\Delta AOC\cong \Delta AOB$
$\therefore \angle CAO=\angle BAO\text{(CPCT)}\Rightarrow 2x+24=30\Rightarrow 2x=30-24=6.$