Question

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

(2 marks)

Answer 1

Given, $\Delta AOC\cong \Delta AOB$ by RHS congruency rule.
$\therefore$ Corresponding parts of congruent triangles are equal. (1 mark)
$\Rightarrow \angle CAO=\angle BAO$
$\Rightarrow 2x+24=30$
$\Rightarrow 2x=30-24=6.$
$\Rightarrow x=3.$ (1 mark)