Exterior and Interior Opposite Angles of a Triangle

In $∆\mathrm{PQR}$ side $\mathrm{QR}$ is extended to $\mathrm{S}$. If $\angle \mathrm{PRS}={150}^{°}$ and $\mathrm{RP}=\mathrm{RQ}$, find all the angles of $∆\mathrm{PRQ}$.

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

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

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

If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is ${360}^{°}$.

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

One side of a triangle is produced and the exterior angle so formed is ${120}^{°}$. If the interior opposite angles are in the ratio $2:3$, find the measure of each angle of the triangle.