I1.1 If $A=11+12+13+\ldots+29$, find $A$.
I1.2 If $\sin A^{\circ}=\cos B^{\circ}$, where $0<B<90$, find $B$.
I1.3 In the given figure, $\angle P Q R=B^{\circ}, \angle P R Q=50^{\circ}$. If $\angle Q S R=n^{\circ}$, find $n$.
I1.4 $n$ cards are marked from 1 to $n$ and one is drawn at random. If the chance of it being a multiple of 5 is $\frac{1}{m}$, find $m$.
$\begin{array}{l}A=\frac{1}{2}(11+29) \cdot 19=380 \\ \sin 380^{\circ}=\cos B^{\circ} \\ \sin 20^{\circ}=\cos B^{\circ} \\ B=70 \\ \angle P Q R=70^{\circ} \\ \angle Q P R=60^{\circ}(\angle \mathrm{s} \text { sum of } \triangle) \\ n=60(\angle \mathrm{s} \text { in the same segment }) \\ \text { Favourable outcome }=\{5,10, \ldots, 60\} \\ \frac{1}{m}=\frac{12}{60}=\frac{1}{5} \\ \Rightarrow m=5\end{array}$