The angles of a triangle are in the ratio $5: 4: 3$. Find the measure of each angle.

In $∆\mathrm{ABC}, 2\angle \mathrm{A}=3\angle \mathrm{B}=6\angle \mathrm{C}$. Calculate $\angle \mathrm{A}, \angle \mathrm{B}$ and $\angle \mathrm{C}$.

[Hint: $2\angle \mathrm{A}=3\angle \mathrm{B}\Rightarrow \angle \mathrm{A}:\angle \mathrm{B}=3:2 \text{and} 3\angle \mathrm{B}=6\angle \mathrm{C}\Rightarrow \angle \mathrm{B}:\angle \mathrm{C}=6:3=2:1 \text{thus}, \angle \mathrm{A}:\angle \mathrm{B}:\angle \mathrm{C}=3:2:1$]

From the given figure, find the value of $x$

In the given figure, find the values of $\mathrm{x}$ and $\mathrm{y}$.

In the given figure, find the values of $x$ and $y$.

In the given figure, find the values of $x$ and $y$.