Question

For a $\Delta ABC,\angle A={90}^o$ and $\angle B={45}^o$. If $\Delta ABC\cong \Delta XYZ,$ then $\angle Z=$____.

• A. ${90}^o$
• B. ${180}^o$
• C. ${45}^o$
• D. cannot be determined

Answer 1

The correct option is C ${45}^o$

In $\Delta ABC,\angle A={90}^o$ and $\angle B={45}^o$
$\therefore \angle C={45}^o(\because \angle A+\angle B+\angle C={180}^o)$
Also, $\Delta ABC\cong \Delta XYZ,$
So, $\angle C=\angle Z$
$\therefore \angle Z={45}^o.$