Question

In $\Delta DEF,\angle D={87}^o$ and $\angle F={43}^o$ . If $\Delta DEF\cong \Delta BAC$,

then find the measure of $\angle A$.

• A. ${87}^o$
• B. ${43}^o$
• C. ${50}^o$
• D. None of these

Answer 1

The correct option is C ${50}^o$

For $\Delta DEF,\angle D={87}^o$ and $\angle F={43}^o.$
$\therefore \angle E={50}^o(\because \angle D+\angle E+\angle F={180}^o)$
Also, $\Delta DEF\cong \Delta BAC,$ so corresponding angles are equal.
$\angle E=\angle A$
$\therefore \angle A={50}^o.$