Question
In the given figure, show that: $\angle a =\angle b +\angle c$

(i) If $\angle b =60^{\circ}$ and $\angle c =50^{\circ}$; find $\angle a$.
(ii) If $\angle a =100^{\circ}$ and $\angle b =55^{\circ}$ : find $\angle c$.
(iii) If $\angle a =108^{\circ}$ and $\angle c =48^{\circ}$; find $\angle b$.

(i) If $\angle b =60^{\circ}$ and $\angle c =50^{\circ}$; find $\angle a$.
(ii) If $\angle a =100^{\circ}$ and $\angle b =55^{\circ}$ : find $\angle c$.
(iii) If $\angle a =108^{\circ}$ and $\angle c =48^{\circ}$; find $\angle b$.

