Question

If $\Delta ABC$ and $\Delta DEF$ are congruent, then find the value of $x$ and $y$.

• A. $x=40,y=60$
• B. $x=30,y=60$
• C. $x=60,y=60$
• D. $x=60,y=40$

Answer 1

The correct option is A $x=40,y=60$

We know $\Delta ABC\cong \Delta DEF$ by ASA congruence.
Therefore, $\angle A=\angle D=40$
$\therefore x=40$
$\angle B=\angle F=60$
$\therefore y=60$
So, $x=40,y=60$