Question

It is given that $\Delta AOC\cong \Delta AOB$ by RHS congruency rule. What is the value of x?

• A. 0.0
• B. 3
• C. 6
• D. 9

Answer 1

The correct option is B 3

Given, $\Delta AOC\cong \Delta AOB$ by RHS congruency rule.
$\therefore$ Corresponding parts of congruent triangles are equal.
$\Rightarrow \angle CAO=\angle BAO\Rightarrow 2x+24=30\Rightarrow 2x=30-24=6.\Rightarrow x=3.$