If the exterior angle of a triangle is $140°$ and its interior opposite angles are equal, find all the interior angles of the triangle.

If the value of $\text{'}x\text{'}$ in the given figure is $k°$ then find $k$.

In the given figure ray $\mathrm{AZ}$ bisects $\angle \mathrm{BAD}$ and $\angle \mathrm{DCB}$

prove that $△\mathrm{BAC}\cong △\mathrm{DAC}$.

In the given figure ray $\mathrm{AZ}$ bisects $\angle \mathrm{BAD}$ and $\angle \mathrm{DCB}$

prove that $\mathrm{AB}=\mathrm{AD}$

In the given figure $\mathrm{FG}=\mathrm{FI}$ and $\mathrm{H}$ is midpoint of $\mathrm{GI}$ prove that $△\mathrm{FGH}\cong △\mathrm{FHI}$.

Using the given figure, prove that the triangles are congruent. Can you conclude that $\mathrm{AC}$ is parallel to $\mathrm{DE}$.

In given figure $\mathrm{BD}=\mathrm{BC}$, if the value of $x=k°$ then find $k$.