Question

In $\Delta PQR,\angle Q={72}^o$ and $\angle P={45}^o$. Then find exterior angle $\angle x$.

• A. ${127}^o$
• B. ${63}^o$
• C. ${117}^o$
• D. ${53}^o$

Answer 1

The correct option is C ${117}^o$

In $\Delta PQR,$
$\angle P={45}^o\angle Q={72}^o$
Sum of two non adjacent interior angle is equals to measure of the exterior angles
$\therefore \angle x=\angle P+\angle Q$
$={45}^o+{72}^o$
$={117}^o$