In a triangle, an exterior angle at a vertex is $105°$ and it's one of the interior opposite angles is $45°$. Find all angles of the triangle

In the figure, the sides, $\mathrm{BC}, \mathrm{CA} \mathrm{and} \mathrm{AB} \mathrm{of} ∆\mathrm{ABC}$ have been produce to $\mathrm{D}, \mathrm{E} \mathrm{and} \mathrm{F}$respectively if $\angle \mathrm{ACD}=100°$ and $\angle \mathrm{EAF}=35°$, find all the angle of $△\mathrm{ABC}$.

In the figure, $\mathrm{AD} \mathrm{and} \mathrm{CE}$ are perpendiculars to sides $\mathrm{BC} \mathrm{and} \mathrm{AB}$ respectively of $∆\mathrm{ABC}.$ If$\angle \mathrm{ECD}=40°$  find $\angle \mathrm{BAD}$.

In the figure, find the value of $\mathrm{x}°$

ABC is a triangle in which $\angle \mathrm{B}=\angle \mathrm{C}$ and ray $\mathrm{AX}$ bisects the exterior angle $\angle \mathrm{DAC}.$ If$\angle \mathrm{DAX}=70°$ , find $\angle \mathrm{ACB}$.

Find the value of $\mathrm{x}$ and $\mathrm{y}$ in the following figure.

Find the value of $\mathrm{x}$ and $\mathrm{y}$ in the following figure.

Find the value of $\mathrm{x}$ and $\mathrm{y}$ in the following figure.